Journal of Evolution Equations

Article	Citations
Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics	23
Continuity of solutions to a nonlinear fractional diffusion equation	20
Nonlinear parabolic stochastic evolution equations in critical spaces part II	15
Image-dependent conditional McKean–Vlasov SDEs for measure-valued diffusion processes	11
On the Navier–Stokes equations on surfaces	11
Boundary value problems of elliptic and parabolic type with boundary data of negative regularity	10
Large-time behavior in a two-dimensional logarithmic chemotaxis-Navier–Stokes system with signal absorption	10
A unified approach to Schrödinger evolution of superoscillations and supershifts	10
Refined blow-up criteria for the full compressible Navier–Stokes equations involving temperature	9
Equivalence of viscosity and weak solutions for a p-parabolic equation	9
Regularity results and asymptotic behavior for a noncoercive parabolic problem	8
Elastic flow of networks: short-time existence result	8
Existence of a global weak solution for a reaction–diffusion problem with membrane conditions	8
A note on the Cauchy problem for the two-component Novikov system	7
Decay and scattering in energy space for the solution of weakly coupled Schrödinger–Choquard and Hartree–Fock equations	7
Subordination for sequentially equicontinuous equibounded $$C_0$$-semigroups	7
On $$\varvec{C^{1/2,1}}$$, $$\varvec{C^{1,2}}$$, and $$\varvec{C^{0,0}}$$ estimates for linear parabolic operators	7
Regularity and stability of the semigroup associated with some interacting elastic systems I: a degenerate damping case	7
On periodic solutions for one-phase and two-phase problems of the Navier–Stokes equations	6
Global existence for the Jordan–Moore–Gibson–Thompson equation in Besov spaces	6
On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients	6
Mixing solutions for the Muskat problem with variable speed	6
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping	6
Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition	6
A minimising movement scheme for the p-elastic energy of curves	6

Sharp ill-posedness for the generalized Camassa–Holm equation in Besov spaces	6
Well-posedness and unconditional uniqueness of mild solutions to the Keller–Segel system in uniformly local spaces	6
A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games	6
Asymptotic stability of fractional resolvent families	6
A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity	6
Asymptotics for a parabolic equation with critical exponential nonlinearity	6
Continuity equation and vacuum regions in compressible flows	6
Lorentz spaces in action on pressureless systems arising from models of collective behavior	6
Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations	6
Conservation laws and Hamilton–Jacobi equations with space inhomogeneity	6
Periodic solution of stochastic process in the distributional sense	6
Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients	5
Fractional Cauchy problem on random snowflakes	5
Short time existence for coupling of scaled mean curvature flow and diffusion	5
Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes	5
Global existence for the two-dimensional Kuramoto–Sivashinsky equation with a shear flow	5
Self-similar solutions of focusing semi-linear wave equations in $${\mathbb {R}}^{N}$$	5
Stochastic model reduction: convergence and applications to climate equations	5
Local well-posedness of a quasi-incompressible two-phase flow	5
Degenerate operators on the half-line	5
The modified KdV equation with higher dispersion in Sobolev and analytic spaces on the line	5
Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions	5
Nodal solutions of weighted indefinite problems	5
An $$L^1$$-theory for a nonlinear temporal periodic problem involving p(x)-growth structure with a strong dependence on gradients	5
Instability of ground states for the NLS equation with potential on the star graph	5
On the $$\mathrm {L}^p$$-theory for second-order elliptic operators in divergence form with complex coefficients	5
Local boundedness of a mixed local–nonlocal doubly nonlinear equation	5
Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel	5
From Jean Leray to the millennium problem: the Navier–Stokes equations	5
Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds	5
Compatibility of state constraints and dynamics for multiagent control systems	5
Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method	5
Fujita modified exponent for scale invariant damped semilinear wave equations	4
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	4
Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall	4
The Cauchy problem for 3-evolution equations with data in Gelfand–Shilov spaces	4
The time fractional Schrödinger equation with a nonlinearity of Hartree type	4
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	4
Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects	4
A probabilistic study of the kinetic Fokker–Planck equation in cylindrical domains	4
Non-autonomous maximal regularity for fractional evolution equations	4
$$\varepsilon $$-Regularity criteria for the 3D Navier–Stokes equations in Lorentz spaces	4
Dynamic transmission conditions for linear hyperbolic systems on networks	4
Vanishing viscosity approximation for linear transport equations on finite star-shaped networks	4
Almost conservation laws for stochastic nonlinear Schrödinger equations	4
Conditional stability and periodicity of solutions to evolution equations	4
The phenomenon of large population densities in a chemotaxis competition system with loop	4
Space-time decay rate for 3D compressible Euler equations with damping	4
Solvability of superlinear fractional parabolic equations	4
Global existence of solutions and smoothing effects for classes of reaction–diffusion equations on manifolds	4

The essential spectrum of periodically stationary solutions of the complex Ginzburg–Landau equation	4
On some parabolic equations involving superlinear singular gradient terms	4
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques	4
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms	4
The kinetic Fokker–Planck equation with general force	4
Stochastic branching at the edge: individual-based modeling of tumor cell proliferation	3
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	3
Weighted energy method for semilinear wave equations with time-dependent damping	3
Well-posedness analysis of multicomponent incompressible flow models	3
Stability of constant steady states of a chemotaxis model	3
Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D	3
Remarks on exponential stability for a coupled system of elasticity and thermoelasticity with second sound	3
Weak and very weak solutions to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains	3
Analytical properties for the fifth-order b-family Novikov model	3
Global existence of solutions of the time fractional Cahn–Hilliard equation in $${\mathbb {R}}^3$$	3
Maximal Lorentz regularity for the Keller–Segel system of parabolic–elliptic type	3
The Gevrey analyticity and decay for the micropolar system in the critical Besov space	3
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations	3
Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary	3
Self-similarity in homogeneous stationary and evolution problems	3
The Cayley transform of the generator of a polynomially stable $$C_0$$-semigroup	3
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	3
A well-posedness result for a system of cross-diffusion equations	3
Kinetic maximal $$L^2$$-regularity for the (fractional) Kolmogorov equation	3
Maximal regularity for elliptic operators with second-order discontinuous coefficients	3
On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions	3
Stabilization of transmission system of Kirchhoff plate and wave equations with a localized Kelvin–Voigt damping	3
Moore Gibson Thompson thermoelastic plates: comparisons	3
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	3
Dynamics of a nonlocal viral infection model with spatial heterogeneity and general incidence	3
A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators	3
Observability and control of parabolic equations on networks with loops	3
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry	3
On functions of bounded variation on convex domains in Hilbert spaces	3
A note on the long-time behavior of dissipative solutions to the Euler system	3
Large time behavior of solutions to a Stokes-Magneto equations in three dimensions	2
An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains	2
Evolution of states of an infinite particle system with nonlocal branching	2
Large deviation principle for stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise	2
Observability inequalities for degenerate transport equations	2
Blow-up and peakons for a higher-order $$\mu $$-Camassa–Holm equation	2
On the derivative nonlinear Schrödinger equation with weakly dissipative structure	2
On the second-order regularity of solutions to the parabolic p-Laplace equation	2
A rigorous derivation and energetics of a wave equation with fractional damping	2
Well-posedness for some third-order evolution differential equations: a semigroup approach	2
Convex semigroups on $$L^p$$-like spaces	2
Uniform convergence of operator semigroups without time regularity	2
Essential m-dissipativity and hypocoercivity of Langevin dynamics with multiplicative noise	2
Random attractors via pathwise mild solutions for stochastic parabolic evolution equations	2
Staffans–Weiss perturbations for maximal $$L^p$$-regularity in Banach spaces	2
On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order	2
Initial-boundary value problems on a half-strip for the modified Zakharov–Kuznetsov equation	2
Scattering theory for a class of defocusing energy-critical Choquard equations	2
A Cahn–Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials	2
The time-dependent Hartree–Fock–Bogoliubov equations for Bosons	2
On the 3D Navier–Stokes equations with a linear multiplicative noise and prescribed energy	2
Stochastic reaction–diffusion equations on networks	2
Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method	2
Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media	2
On the numerical range of second-order elliptic operators with mixed boundary conditions in $$L^p$$	2
The Zakharov–Kuznetsov equation in high dimensions: small initial data of critical regularity	2
Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law	2
Large time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large data	2
Global well-posedness for the incompressible Hall-magnetohydrodynamic system in critical Fourier–Besov spaces	2
Bounded and almost periodic solvability of nonautonomous quasilinear hyperbolic systems	2
Uniqueness for degenerate parabolic equations in weighted $$L^1$$ spaces	2
Diffusion approximation for a simple kinetic model with asymmetric interface	2
A new type distribution-dependent SDE for singular nonlinear PDE	2
On integration by parts formula on open convex sets in Wiener spaces	2
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball	2
On complex-time heat kernels of fractional Schrödinger operators via Phragmén–Lindelöf principle	2
Continuum limit of 2D fractional nonlinear Schrödinger equation	2
Local controllability of the one-dimensional nonlocal Gray–Scott model with moving controls	2
Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions	2
Ergodic decompositions of Dirichlet forms under order isomorphisms	2
Maximal $$L^1$$-regularity for parabolic initial-boundary value problems with inhomogeneous data	2
Boundedness of the conformal hyperboloidal energy for a wave-Klein–Gordon model	2
Attainability of time-periodic flow of a viscous liquid past an oscillating body	2
On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems	1

Bi-objective and hierarchical control for the Burgers equation	1
KFP operators with coefficients measurable in time and Dini continuous in space	1
On the evolution equation with a dynamic Hardy-type potential	1
Banach gradient flows for various families of knot energies	1
The porous medium equation with variable exponent revisited	1
Weighted maximal $$L_{q}(L_{p})$$-regularity theory for time-fractional diffusion-wave equations with variable coefficients	1
On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis	1
On the 2D Ericksen–Leslie equations with anisotropic energy and external forces	1
Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity	1
Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities	1
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	1
Existence and convergence of the length-preserving elastic flow of clamped curves	1
Regularity of solutions to Kolmogorov equation with Gilbarg–Serrin matrix	1
Schrödinger-improved Boussinesq system in two space dimensions	1
Absence of embedded eigenvalues for non-local Schrödinger operators	1
Averaging of nonlinear Schrödinger equations with time-oscillatory coefficients	1
On self-similar singularity formation for the binormal flow	1
Zero-contact angle solutions to stochastic thin-film equations	1
Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates	1
On the decay problem for the Zakharov and Klein–Gordon–Zakharov systems in one dimension	1
On the Cauchy problem of Boltzmann equation with a very soft potential	1
Transport equations with nonlocal diffusion and applications to Hamilton–Jacobi equations	1
On continuity properties of semigroups in real interpolation spaces	1
A Kalman condition for the controllability of a coupled system of Stokes equations	1
On the Hölder regularity for obstacle problems to porous medium type equations	1
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	1
On periodic evolution equations governed by sweeping processes with multivalued perturbations	1
Global dynamics of the generalized fifth-order KdV equation with quintic nonlinearity	1
Regularity results for nonlinear Young equations and applications	1
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	1
Interior Hölder continuity for singular-degenerate porous medium type equations with an application to a biofilm model	1
Stability of periodic peaked solitary waves for a cubic Camassa–Holm-type equation	1
Critical exponents for the p-Laplace heat equations with combined nonlinearities	1
On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero	1
On the maximal parameter range of global stability for a nonlocal thermostat model	1
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	1
Analysis of mass controlled reaction–diffusion systems with nonlinearities having critical growth rates	1
The hydrostatic approximation for the primitive equations by the scaled Navier–Stokes equations under the no-slip boundary condition	1
Asymptotic behavior of solutions for nonlinear parabolic problems with Marcinkiewicz data	1
Contraction of convex hypersurfaces by nonhomogeneous functions of curvature	1
Existence of nonnegative solutions of nonlinear fractional parabolic inequalities	1
Description of the smoothing effects of semigroups generated by fractional Ornstein–Uhlenbeck operators and subelliptic estimates	1
Nonuniform dependence of solution to the high-order two-component b-family system	1
A splitting/polynomial chaos expansion approach for stochastic evolution equations	1
Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension	1
An asymptotic analysis for a generalized Cahn–Hilliard system with fractional operators	1
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	1
A parabolic–elliptic chemotaxis system with nonlinear diffusion approached from a Cahn–Hilliard-type system	1
Global in time self-interacting Dirac fields in the de Sitter space	1
Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data	1
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	1
On a quasilinear fully parabolic predator–prey model with indirect pursuit-evasion interaction	1
Strichartz estimates for equations with structured Lipschitz coefficients	1
Diffusive relaxation to equilibria for an extended reaction–diffusion system on the real line	1
Gaussian bounds of fundamental matrix and maximal $$L^1$$ regularity for Lamé system with rough coefficients	1
The Willmore flow of Hopf-tori in the 3-sphere	1
Solutions to nonlocal evolution equations governed by non-autonomous forms and demicontinuous nonlinearities	1
Modelling physiologically structured populations: renewal equations and partial differential equations	1
Parabolic differential equations with bounded delay	1
Global weak solutions for the Landau–Lifshitz–Gilbert–Vlasov–Maxwell system coupled via emergent electromagnetic fields	1
Time-decay estimates for the linearized water wave type equations	1
Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in $$L^1$$	1
A singular perturbation problem for mean field games of acceleration: application to mean field games of control	1
Time-weighted estimates for the Blackstock equation in nonlinear ultrasonics	1
The Stokes Dirichlet-to-Neumann operator	1
The fractional porous medium equation on manifolds with conical singularities I	1
The primitive equations in the scaling-invariant space $$L^{\infty }(L^1)$$	1
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	1
Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta–Kawashima condition	1
Long-time behavior of several point particles in a 1D viscous compressible fluid	1
On the global existence for the compressible Euler–Poisson system, and the instability of static solutions	1
A remark on the non-uniqueness in $$L^\infty $$ of the solutions to the two-dimensional Stokes problem in exterior domains	1
Regularity and time behavior of the solutions to weak monotone parabolic equations	1