OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Partial Differential Equations is 5. 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 2020-09-01 to 2024-09-01.)

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	36
Delayed blow-up by transport noise	31
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	20
Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions	19
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption	16
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	14
Attractors of the Einstein-Klein-Gordon system	14
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient	14
Topological invariants for interface modes	13
On classical solutions to the mean field game system of controls	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
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	9
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	9
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

Determining the magnetic potential in the fractional magnetic Calderón problem	9
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation	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
On local energy decay for large solutions of the Zakharov-Kuznetsov 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
Short-time existence of the α-Dirac-harmonic map flow and applications	6
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	6
The Cauchy problem for the L²–critical generalized Zakharov-Kuznetsov equation in dimension 3	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
Threshold scattering for the 2D radial cubic-quintic NLS	6
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	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
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations	5
Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime	5
Recovery of discontinuous Lamé parameters from exterior Cauchy data	5
Minimal graphs and differential inclusions	5
Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation	5
A dynamical system approach to a class of radial weighted fully nonlinear equations	5
Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions	5
The Hartree and Vlasov equations at positive density	5
Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients	5
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	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