Journal of Evolution Equations

Article	Citations
On the Perron solution of the caloric Dirichlet problem: an elementary approach	20
The maximal regularity property of abstract integrodifferential equations	15
Long-time behavior of several point particles in a 1D viscous compressible fluid	10
On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero	10
Dynamics of a nonlocal viral infection model with spatial heterogeneity and general incidence	8
On the 2D Ericksen–Leslie equations with anisotropic energy and external forces	7
Parabolic differential equations with bounded delay	7
Unconditional well-posedness for the energy-critical nonlinear damped wave equation	7
Banach gradient flows for various families of knot energies	6
Finite- and infinite-time cluster formation for alignment dynamics on the real line	6
Gaussian bounds of fundamental matrix and maximal $$L^1$$ regularity for Lamé system with rough coefficients	6
Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities	6
Regularity results and asymptotic behavior for a noncoercive parabolic problem	6
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques	6
On the Hölder regularity for obstacle problems to porous medium type equations	6
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces	6
Temporal regularity of the solution to the incompressible Euler equations in the end-point critical Triebel–Lizorkin space $$F^{d+1}_{1, \infty }(\mathbb {R}^d)$$	6
Maximal $$L^1$$-regularity for parabolic initial-boundary value problems with inhomogeneous data	6
Weighted maximal $$L_{q}(L_{p})$$-regularity theory for time-fractional diffusion-wave equations with variable coefficients	6
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry	6
Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition	6
A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators	6
Convex semigroups on $$L^p$$-like spaces	5
On well-posedness for some Korteweg–de Vries type equations with variable coefficients	5
Transport equations with nonlocal diffusion and applications to Hamilton–Jacobi equations	5

Stochastic reaction–diffusion equations on networks	5
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	5
Observability and control of parabolic equations on networks with loops	5
A rigorous derivation and energetics of a wave equation with fractional damping	5
Strichartz estimates for equations with structured Lipschitz coefficients	5
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	5
The Zakharov–Kuznetsov equation in high dimensions: small initial data of critical regularity	5
Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities	5
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	5
Regularity and time behavior of the solutions to weak monotone parabolic equations	5
Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media	5
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	5
A stochastic porous media Schrödinger equation: Feynman-type motivation, well-posedness and control interpretation	4
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth	4
Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions	4
Homogeneous Sobolev global-in-time maximal regularity and related trace estimates	4
Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data	4
Improved polynomial decay for unbounded semigroups	4
Effect of lower order terms on the well-posedness of Majda-Biello systems	4
The Cayley transform of the generator of a polynomially stable $$C_0$$-semigroup	4
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	4
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	4
Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
Existence, uniqueness and regularity of solutions to the stochastic Landau–Lifshitz–Slonczewski equation	4
Elliptic fourth-order operators with Wentzell boundary conditions on Lipschitz domains	4
KFP operators with coefficients measurable in time and Dini continuous in space	4
Time-dependent acoustic waves generated by multiple resonant bubbles: application to acoustic cavitation	4
Pointwise space-time estimates of two-phase fluid model in dimension three	4
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
Well-posedness for the NLS hierarchy	4
Evolutionary equations are G-compact	4
Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D	3
Degenerate operators on the half-line	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
Lack of controllability of the viscous Burgers equation: part I—the $$\mathrm{L}^\infty $$ setting	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
The Cauchy problem for the generalized Ostrovsky equation with negative dispersion	3
Perturbations of positive semigroups factorized via AM- and AL-spaces	3
Fractional Cauchy problem on random snowflakes	3
Multiple scales and singular limits of perfect fluids	3
Stability of random attractors for non-autonomous fractional stochastic p-Laplacian equations driven by nonlinear colored noise	3
The time-dependent Hartree–Fock–Bogoliubov equations for Bosons	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball	3
Observability inequalities for degenerate transport equations	3
Self-similarity in homogeneous stationary and evolution problems	3
Nonautonomous evolution equations: connecting quasilinear with semilinear	3
Continuum limit of 2D fractional nonlinear Schrödinger equation	3
Stability of periodic peaked solitary waves for a cubic Camassa–Holm-type equation	3

Description of the smoothing effects of semigroups generated by fractional Ornstein–Uhlenbeck operators and subelliptic estimates	3
A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects	3
Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise	3
Global smoothing for the Davey–Stewartson system on $$\mathbb {R}^2$$	3
Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrödinger equation with radial data below ground state	3
Frequency theorem and inertial manifolds for neutral delay equations	3
Conditional stability and periodicity of solutions to evolution equations	3
Stability estimates for semigroups in the Banach case	2
Potential stability of the Fokker–Planck equation	2
On self-similar singularity formation for the binormal flow	2
Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions	2
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	2
Conservation laws and Hamilton–Jacobi equations with space inhomogeneity	2
The Cauchy problem for 3-evolution equations with data in Gelfand–Shilov spaces	2
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	2
Nonlinear partial differential equations on noncommutative Euclidean spaces	2
Large deviation principle for stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise	2
On periodic evolution equations governed by sweeping processes with multivalued perturbations	2
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	2
A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation	2
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	2
Time periodic solutions to the 2D quasi-geostrophic equation with the supercritical dissipation	2
Dynamic stability of transonic shock solutions for one-dimensional Euler equations with external forcing	2
Large time behavior of signed fractional porous media equations on bounded domains	2
Asymptotic stability of fractional resolvent families	2
Critical mass for the Cauchy problem of a chemotaxis model with indirect signal production mechanism	2
Moore Gibson Thompson thermoelastic plates: comparisons	2
An interpolation inequality and its applications to stability of fractional resolvent families	2
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping	2
Bi-objective and hierarchical control for the Burgers equation	2
On the high friction limit for the complete Euler system	2
Generic alignment conjecture for systems of Cucker–Smale type	2
Three evolution problems modeling the interaction between acoustic waves and non-locally reacting surfaces	2
Stability of constant steady states of a chemotaxis model	2
Strong solutions for semilinear problems with almost sectorial operators	2
Dirichlet problems associated to abstract nonlocal space–time differential operators	2
Periodic solution of stochastic process in the distributional sense	2
Asymptotically almost periodic solutions for some partial differential inclusions in $$\alpha $$-norm	2
On $$L^2$$ decay of weak solutions of several incompressible fluid models	2
Well-posedness analysis of multicomponent incompressible flow models	2
Diffusion approximation for a simple kinetic model with asymmetric interface	2
A remark on selection of solutions for the transport equation	2
On a quasilinear fully parabolic predator–prey model with indirect pursuit-evasion interaction	2
The Stokes Dirichlet-to-Neumann operator	2
Weighted energy method for semilinear wave equations with time-dependent damping	1
Correction to: Dynamic transmission conditions for linear hyperbolic systems on networks	1
Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity	1
Some qualitative analysis for a parabolic equation with critical exponential nonlinearity	1
New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations	1
Local boundedness of a mixed local–nonlocal doubly nonlinear equation	1
Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	1
On some parabolic equations involving superlinear singular gradient terms	1
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	1
Existence of solutions for time fractional semilinear parabolic equations in Besov–Morrey spaces	1
Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks	1
Uniqueness for degenerate parabolic equations in weighted $$L^1$$ spaces	1
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	1
Correction to: The hydrostatic approximation for the primitive equations by the scaled Navier–Stokes equations under the no-slip boundary condition	1
Well-posedness and unconditional uniqueness of mild solutions to the Keller–Segel system in uniformly local spaces	1
Fujita exponent for the global-in-time solutions to a semilinear heat equation with non-homogeneous weights	1
Modified scattering for the fractional mKdV equation	1
If time were a graph, what would evolution equations look like?	1
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations	1
Existence of nonnegative solutions of nonlinear fractional parabolic inequalities	1
The primitive equations in the scaling-invariant space $$L^{\infty }(L^1)$$	1
On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients	1
Sharp ill-posedness for the generalized Camassa–Holm equation in Besov spaces	1
Correction to: Weighted Energy-Dissipation approach to doubly nonlinear problems on the half line	1
Large deviation principle of stochastic evolution equations with reflection	1
An application of spectral localization to the critical SQG on a ball	1
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces	1
Well-posedness and longtime dynamics for the finitely degenerate parabolic and pseudo-parabolic equations	1
A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games	1
Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity	1
Periodic motions of species competition flows and inertial manifolds around them with nonautonomous diffusion	1
On the Cauchy problem of Boltzmann equation with a very soft potential	1
Dean–Kawasaki equation with initial condition in the space of positive distributions	1
Regularity and stability of the semigroup associated with some interacting elastic systems I: a degenerate damping case	1
Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation	1
Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces	1

Decay estimates for Cayley transforms and inverses of semigroup generators via the $$\mathcal {B}$$-calculus	1
Global in time self-interacting Dirac fields in the de Sitter space	1
The Gevrey analyticity and decay for the micropolar system in the critical Besov space	1
Threshold of global existence for a Gross–Pitaevskii system associated with a dipolar Bose–Einstein condensate in 2D	1
Remarks on thin quasilinear plates with mixed boundary conditions	1
On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order	1
Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin–Voigt damping	1
Averaging of nonlinear Schrödinger equations with time-oscillatory coefficients	1
Staffans–Weiss perturbations for maximal $$L^p$$-regularity in Banach spaces	1
A unified approach to Schrödinger evolution of superoscillations and supershifts	1
Bounded and almost periodic solvability of nonautonomous quasilinear hyperbolic systems	1
On blow-up conditions for nonlinear higher-order evolution inequalities	1
Pointwise estimates for degenerate Kolmogorov equations with $$L^p$$-source term	1
General Airy-type equations, heat-type equations and pseudo-processes	1
Correction to: From Jean Leray to the millennium problem: the Navier–Stokes equations	1
Solitary wave solutions and global well-posedness for a coupled system of gKdV equations	1
Mathematical analysis of the motion of a piston in a fluid with density dependent viscosity	1
Lorentz spaces in action on pressureless systems arising from models of collective behavior	1
Stability criteria for positive semigroups on ordered Banach spaces	1
Vanishing viscosity approximation for linear transport equations on finite star-shaped networks	1
Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta–Kawashima condition	1
Persistence and asymptotic analysis of solutions of nonlinear wave equations	1
Stability for a composite of Timoshenko laminated beams	1
Some aspects of the Floquet theory for the heat equation in a periodic domain	1
A Kalman condition for the controllability of a coupled system of Stokes equations	1
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	1
Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates	1
Evolution of states of an infinite particle system with nonlocal branching	1
An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains	1
An asymptotic analysis for a generalized Cahn–Hilliard system with fractional operators	1
Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics	1
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	1
Local controllability of the one-dimensional nonlocal Gray–Scott model with moving controls	0
Stabilization of a cyclic network of strings by nodal control	0
On the decay problem for the Zakharov and Klein–Gordon–Zakharov systems in one dimension	0
A higher-order quadratic NLS equation on the half-line	0
Global existence for systems of nonlinear wave and Klein–Gordon equations in two space dimensions under a kind of the weak null condition	0
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	0
Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method	0
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	0
Existence and convergence of the length-preserving elastic flow of clamped curves	0
The kinetic Fokker–Planck equation with general force	0
An inf-sup approach to $$C_0$$-semigroup generation for an interactive composite structure-Stokes PDE dynamics	0
On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis	0
Finite time blowup of solutions of the hydrostatic Euler equations	0
Global boundedness and asymptotic behavior of a two-species chemotaxis system with signal-dependent motilities and indirect signal consumption	0
Continuity of solutions to a nonlinear fractional diffusion equation	0
Local well-posedness for a fractional KdV-type equation	0
Weak and very weak solutions to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains	0
The hydrostatic approximation for the primitive equations by the scaled Navier–Stokes equations under the no-slip boundary condition	0
The fractional porous medium equation on manifolds with conical singularities I	0
Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases	0
Hopf bifurcation theorem for second-order semi-linear Gurtin–MacCamy equation	0
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	0
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	0
Well-posedness for some third-order evolution differential equations: a semigroup approach	0
Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension	0
Well-posedness of Keller–Segel systems on compact metric graphs	0
A well-posedness result for a system of cross-diffusion equations	0
Non-autonomous maximal regularity for fractional evolution equations	0
Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy	0
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	0
Kinetic maximal $$L^2$$-regularity for the (fractional) Kolmogorov equation	0
Nonlinear parabolic stochastic evolution equations in critical spaces part II	0
Modelling physiologically structured populations: renewal equations and partial differential equations	0
Harnack inequality and asymptotic lower bounds for the relativistic Fokker–Planck operator	0
Analytical validation of the helicity conservation for the compressible Euler equations	0
A Cahn–Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials	0
Correction to: Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases	0
The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line	0
On the growth of Sobolev norms for Hartree equation	0
On $$\varvec{C^{1/2,1}}$$, $$\varvec{C^{1,2}}$$, and $$\varvec{C^{0,0}}$$ estimates for linear parabolic operators	0
Zero-contact angle solutions to stochastic thin-film equations	0
On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems	0
Solvability of a semilinear heat equation on Riemannian manifolds	0
On the second-order regularity of solutions to the parabolic p-Laplace equation	0
Shape perturbation of a nonlinear mixed problem for the heat equation	0
Endpoint Strichartz estimates with angular integrability and some applications	0
On the Weierstraß form of infinite-dimensional differential algebraic equations	0
Nonuniform dependence of solution to the high-order two-component b-family system	0
Global boundedness in a parabolic-elliptic chemotaxis system with singular sensitivity and sublinear production	0
Stability of rotating liquid drops with surface tension	0
Traveling wave fronts for a nonlocal system with delays in both diffusion and reaction terms	0
Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential	0
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	0
Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects	0
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	0
Local regularity for the space-homogenous Landau equation with very soft potentials	0
On the second boundary value problem for a class of fully nonlinear flow III	0
Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in $$L^1$$	0
Semilinear formulation of a hyperbolic system of partial differential equations	0
Analysis of mass controlled reaction–diffusion systems with nonlinearities having critical growth rates	0
Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations	0
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces	0
Quantified hydrodynamic limits for Schrödinger-type equations without the nonlinear potential	0