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 2020-05-01 to 2024-05-01.)

Article	Citations
Mixed local and nonlocal elliptic operators: regularity and maximum principles	51
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications	42
Normalized solutions of mass supercritical Schrödinger equations with potential	42
Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary	34
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	18
Enhanced dissipation for the 2D couette flow in critical space	17
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	16
Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions	16
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
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient	12
Reconstruction of piecewise constant layered conductivities in electrical impedance tomography	12
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	12
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics	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
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
Determining the magnetic potential in the fractional magnetic Calderón problem	9
Topological invariants for interface modes	9

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	8
Nonlocal dissipation measure and L¹ kinetic theory for fractional conservation laws	8
Long time existence of solutions to an elastic flow of networks	8
Selection by vanishing common noise for potential finite state mean field games	8
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	8
An optimization problem in thermal insulation with Robin boundary conditions	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
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	6
On local energy decay for large solutions of the Zakharov-Kuznetsov equation	6
Regularized potentials of Schrödinger operators and a local landscape function	6
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	6
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
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion	6
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	6
Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations	6
On the improvement of the Hardy inequality due to singular magnetic fields	6
Short-time existence of the α-Dirac-harmonic map flow and applications	6
Distance functions with dense singular sets	6
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	6
Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach	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
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
Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions	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
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
Minimal graphs and differential inclusions	5
Black hole gluing in de Sitter space	5
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping	5
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows	5