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 2020-03-01 to 2024-03-01.)

Article	Citations
Mixed local and nonlocal elliptic operators: regularity and maximum principles	46
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications	41
Normalized solutions of mass supercritical Schrödinger equations with potential	36
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary	31
Delayed blow-up by transport noise	27
On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces	25
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	16
Enhanced dissipation for the 2D couette flow in critical space	15
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	15
Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions	15
Attractors of the Einstein-Klein-Gordon system	13
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption	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	11
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography	11
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
Linear and fully nonlinear elliptic equations with L_d-drift	10
On classical solutions to the mean field game system of controls	10
The Fuchsian approach to global existence for hyperbolic equations	10
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics	9
Topological invariants for interface modes	9
Almost minimizers of the one-phase free boundary problem	9
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection	9

Determining the magnetic potential in the fractional magnetic Calderón problem	9
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	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	7
Nonlocal dissipation measure and L¹ kinetic theory for fractional conservation laws	7
Hot spots in convex domains are in the tips (up to an inradius)	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
The Hartree–Fock equations in modulation spaces	7
An optimization problem in thermal insulation with Robin boundary conditions	6
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	6
A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation	6
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	6
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	6
Selection by vanishing common noise for potential finite state mean field games	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
Minimal graphs and differential inclusions	5
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	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
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	5
The Hartree and Vlasov equations at positive density	5
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping	5
Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions	5
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows	5
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law	5
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion	5
Regularized potentials of Schrödinger operators and a local landscape function	5
On the improvement of the Hardy inequality due to singular magnetic fields	5
On the unique continuation of solutions to non-local non-linear dispersive equations	5