OOIR: Observatory of International Research

Papers

(The median citation count of Communications in Partial Differential Equations is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
Mixed local and nonlocal elliptic operators: regularity and maximum principles	58
Normalized solutions of mass supercritical Schrödinger equations with potential	54
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications	42
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary	38
Delayed blow-up by transport noise	31
On corner scattering for operators of divergence form and applications to inverse scattering	20
Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions	20
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption	17
Attractors of the Einstein-Klein-Gordon system	15
On classical solutions to the mean field game system of controls	14
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	14
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient	14
Topological invariants for interface modes	13
Mild assumptions for the derivation of Einstein’s effective viscosity formula	12
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection	12
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate	11
The Fuchsian approach to global existence for hyperbolic equations	11
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations	10
Selection by vanishing common noise for potential finite state mean field games	10
An optimization problem in thermal insulation with Robin boundary conditions	9
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	9
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion	9
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	9
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	9
On local energy decay for large solutions of the Zakharov-Kuznetsov equation	8

Determining the magnetic potential in the fractional magnetic Calderón problem	8
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms	8
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation	8
Regularized potentials of Schrödinger operators and a local landscape function	7
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	7
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations	6
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	6
Threshold scattering for the 2D radial cubic-quintic NLS	6
Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach	6
Black hole gluing in de Sitter space	6
Distance functions with dense singular sets	6
The Cauchy problem for the L²–critical generalized Zakharov-Kuznetsov equation in dimension 3	6
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	6
Short-time existence of the α-Dirac-harmonic map flow and applications	6
Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary	6
Positive solutions to the sublinear Lane-Emden equation are isolated	6
Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations	6
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	5
Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients	5
Recovery of discontinuous Lamé parameters from exterior Cauchy data	5
Minimal graphs and differential inclusions	5
A dynamical system approach to a class of radial weighted fully nonlinear equations	5
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows	5
Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation	5
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5
Convergence toward the steady state of a collisionless gas with Cercignani–Lampis boundary condition	4
Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary	4
Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations	4
Nondispersive solutions to the mass critical half-wave equation in two dimensions	4
Regularity estimates for the flow of BV autonomous divergence-free vector fields in R2	4
Global estimates for the Hartree–Fock–Bogoliubov equations	4
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	4
Monotone solutions for mean field games master equations: continuous state space and common noise	4
Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach	4
Synchronization in a Kuramoto mean field game	4
Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus	4
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge	4
Propagation of chaos for the Cucker-Smale systems under heavy tail communication	4
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN	4
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential	4
The Yang-Mills heat flow with random distributional initial data	4
Filamentation near Hill’s vortex	4
Carleman estimates and boundedness of associated multiplier operators	3
Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem	3
The L^p Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system	3
Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance	3
Self-similar behavior of the exchange-driven growth model with product kernel	3
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	3
Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation	3
Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion	3

Analysis of the generalized Aw-Rascle model	3
Dimension reduction techniques in deterministic mean field games	3
A class of prescribed Weingarten curvature equations in Euclidean space	3
Mean exit time for the overdamped Langevin process: the case with critical points on the boundary	3
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation	3
Asymptotic behaviour of the Steklov spectrum on dumbbell domains	3
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications	3
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	3
Weak Harnack inequalities for eigenvalues and constant rank theorems	3
Uniqueness criteria for the Oseen vortex in the 3d Navier-Stokes equations	2
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities	2
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients	2
Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R3	2
Hidden symmetries in non-self-adjoint graphs	2
Boundary renormalisation of SPDEs	2
Long time existence for a two-dimensional strongly dispersive Boussinesq system	2
The Master Equation in a bounded domain with Neumann conditions	2
Randomized final-state problem for the Zakharov system in dimension three	2
Dirichlet problem for weakly harmonic maps with rough data	2
On the motion of a small rigid body in a viscous compressible fluid	2
Small data global regularity for half-wave maps in n = 4 dimensions	2
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity	2
A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory	2
Flow solutions of transport equations	2
Maximal speed of quantum propagation for the Hartree equation	2
Recovery of a spatially-dependent coefficient from the NLS scattering map	2
Asymptotics and scattering for wave Klein-Gordon systems	2
Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Schrödinger equation	2
Shock interactions for the Burgers-Hilbert equation	2
Fractional Sobolev regularity for fully nonlinear elliptic equations	2
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation	2
On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds	2
Inhomogeneous global minimizers to the one-phase free boundary problem	2
The Willmore flow with prescribed isoperimetric ratio	2
Density of zero sets for sums of eigenfunctions	2
Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown	2
A Hamilton-Jacobi approach to evolution of dispersal	2
Asymptotic stability of solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions	2
The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions	2
Hexagonal structures in 2D Navier–Stokes flows	2