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 2020-04-01 to 2024-04-01.)

Article	Citations
Mixed local and nonlocal elliptic operators: regularity and maximum principles	48
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications	42
Normalized solutions of mass supercritical Schrödinger equations with potential	38
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary	32
Delayed blow-up by transport noise	28
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces	27
On corner scattering for operators of divergence form and applications to inverse scattering	19
Inverse random source problems for time-harmonic acoustic and elastic waves	17
Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions	16
Enhanced dissipation for the 2D couette flow in critical space	16
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	15
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption	13
Attractors of the Einstein-Klein-Gordon system	13
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography	12
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient	12
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	12
Mild assumptions for the derivation of Einstein’s effective viscosity formula	11
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate	10
The Fuchsian approach to global existence for hyperbolic equations	10
On classical solutions to the mean field game system of controls	10
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection	10
Linear and fully nonlinear elliptic equations with L_d-drift	10
Almost minimizers of the one-phase free boundary problem	9
Determining the magnetic potential in the fractional magnetic Calderón problem	9
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics	9

Topological invariants for interface modes	9
Nonlocal dissipation measure and L¹ kinetic theory for fractional conservation laws	8
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	8
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	7
Hot spots in convex domains are in the tips (up to an inradius)	7
The Hartree–Fock equations in modulation spaces	7
Selection by vanishing common noise for potential finite state mean field games	7
Long time existence of solutions to an elastic flow of networks	7
Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations	7
Geometric and obstacle scattering at low energy	7
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms	6
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	6
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	6
An optimization problem in thermal insulation with Robin boundary conditions	6
Short-time existence of the α-Dirac-harmonic map flow and applications	6
Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach	6
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	6
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	6
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation	6
The Hartree and Vlasov equations at positive density	5
Distance functions with dense singular sets	5
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping	5
On the improvement of the Hardy inequality due to singular magnetic fields	5
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows	5
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	5
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law	5
Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients	5
Regularized potentials of Schrödinger operators and a local landscape function	5
Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions	5
Minimal graphs and differential inclusions	5
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion	5
A dynamical system approach to a class of radial weighted fully nonlinear equations	5
Positive solutions to the sublinear Lane-Emden equation are isolated	5
Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations	5
Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach	4
Recovery of discontinuous Lamé parameters from exterior Cauchy data	4
Black hole gluing in de Sitter space	4
Interface asymptotics of eigenspace Wigner distributions for the harmonic oscillator	4
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	4
Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary	4
Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations	4
On the energy of critical solutions of the binormal flow	4
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge	4
Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary	4
Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations	4
Stochastic PDEs via convex minimization	4
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential	4
Filamentation near Hill’s vortex	4
On local energy decay for large solutions of the Zakharov-Kuznetsov equation	4
Convergence toward the steady state of a collisionless gas with Cercignani–Lampis boundary condition	4

Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime	4
Carleman estimates and boundedness of associated multiplier operators	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
The L^p Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system	3
A class of prescribed Weingarten curvature equations in Euclidean space	3
Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN	3
Effective multipoles in random media	3
Inverse source problem for a system of wave equations on a Lorentzian manifold	3
Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation	3
Regularity estimates for the flow of BV autonomous divergence-free vector fields in R2	3
Global estimates for the Hartree–Fock–Bogoliubov equations	3
On two methods for quantitative unique continuation results for some nonlocal operators	3
Self-similar behavior of the exchange-driven growth model with product kernel	3
Threshold scattering for the 2D radial cubic-quintic NLS	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
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	3
Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus	3
The Cauchy problem for the L²–critical generalized Zakharov-Kuznetsov equation in dimension 3	3
Weak Harnack inequalities for eigenvalues and constant rank theorems	3
The heat kernel on asymptotically hyperbolic manifolds	3
Inhomogeneous global minimizers to the one-phase free boundary problem	2
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	2
Mean exit time for the overdamped Langevin process: the case with critical points on the boundary	2
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation	2
An analytic construction of singular solutions related to a critical Yamabe problem	2
Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Schrödinger equation	2
Gaussian fluctuations from random Schrödinger equation	2
Hexagonal structures in 2D Navier–Stokes flows	2
Small data global regularity for half-wave maps in n = 4 dimensions	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
Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity	2
Nondispersive solutions to the mass critical half-wave equation in two dimensions	2
Symmetry breaking bifurcations for two overdetermined boundary value problems with non-constant Neumann condition on exterior domains in R3	2
Synchronization in a Kuramoto mean field game	2
The Yang-Mills heat flow with random distributional initial data	2
On the existence of L²-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions	2
Randomized final-state problem for the Zakharov system in dimension three	2
Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance	2
Dirichlet problem for weakly harmonic maps with rough data	2
Monotone solutions for mean field games master equations: continuous state space and common noise	2
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	2
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients	2
On the Bochner Laplacian operator on theta line bundle over quasi-tori	2
Hidden symmetries in non-self-adjoint graphs	2
Recovery of a spatially-dependent coefficient from the NLS scattering map	2
The ∂¯-Neumann operator with Sobolev estimates up to a finite order	2
Asymptotic stability of solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions	2
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations	2
The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions	2
Dimension reduction techniques in deterministic mean field games	2
Propagation of chaos for the Cucker-Smale systems under heavy tail communication	2
Sharp convergence rates for Darcy’s law	2
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities	2