Analysis & Pde

Article	Citations
On the regularity of minimizers for scalar integral functionals with (p,q)-growth	34
New formulas for the Laplacian of distance functions and applications	26
The Schauder estimate for kinetic integral equations	25
The stability of the Minkowski space for the Einstein–Vlasov system	25
On an electromagnetic problem in a corner and its applications	21
The “good” Boussinesq equation : long-time asymptotics	19
Variations of a class of Monge–Ampère-type functionals and their applications	19
Nuclear dimension of simple stably projectionless C∗-algebras	19
Quantitative estimates in stochastic homogenization for correlated coefficient fields	16
C1,α-regularity for variational problems in the Heisenberg group	13
Existence and stability of infinite time bubble towers in the energy critical heat equation	13
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	13
Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems	13
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	12
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	11
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	11
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	11
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals	10
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller	10
Stable self-similar blow-up for a family of nonlocal transport equations	10
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	10
On the propagation of regularity for solutions of the dispersion generalized Benjamin–Ono equation	9
Equivariant property (SI) revisited	9
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	8
The deformed Hermitian Yang–Mills equation on three-folds	8

Quantitative comparisons of multiscale geometric properties	7
On nonuniqueness of Hölder continuous globally dissipative Euler flows	7
Waves interacting with a partially immersed obstacle in the Boussinesq regime	7
The Landau–Pekar equations : adiabatic theorem and accuracy	7
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications	7
Singular stochastic integral operators	7
On the expected Betti numbers of the nodal set of random fields	7
Noncommutative Furstenberg boundary	7
Banach space actions and L2-spectral gap	7
Local and global estimates for hyperbolic equations in Besov–Lipschitz and Triebel–Lizorkin spaces	6
Optimal regularity in time and space for the porous medium equation	6
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori	6
Classical and microlocal analysis of the x-ray transform on Anosov manifolds	6
De Branges canonical systems with finite logarithmic integral	6
A∞-weights and compactness of conformal metrics under Ln∕2 curvature bounds	6
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity	6
Translating solutions to the Gauss curvature flow with flat sides	6
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	6
Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations	6
Time optimal observability for Grushin Schrödinger equation	6
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	6
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	6
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows	5
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain	5
Liouville-type theorems for minimal graphs over manifolds	5
Wave equations with initial data on compact Cauchy horizons	5
Distinguished varieties through the Berger-Coburn-Lebow theorem	5
Stability and instability in scalar balance laws: fronts and periodic waves	5
Near-critical reflection of internal waves	5
IDA and Hankel operators on Fock spaces	5
Threshold dynamics for corotational wave maps	5
Convex sets evolving by volume-preserving fractional mean curvature flows	5
Sign-changing solutions for critical equations with Hardy potential	5
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation	5
Scattering for defocusing energy subcritical nonlinear wave equations	5
Fourier decay of self-similar measures and self-similar sets of uniqueness	5
Quasiperiodic solutions of NLS with Liouvillean frequencies	4
Strong semiclassical limits from Hartree and Hartree–Fock to Vlasov–Poisson equations	4
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	4
The Peskin problem with viscosity contrast	4
Singularities generated by the triple interaction of semilinear conormal waves	4
Potential well theory for the derivative nonlinear Schrödinger equation	4
Some refinements of the partial C0 estimate	4
Nonsingular Bernoulli actions of arbitrary Krieger type	4
Weighted integrability of polyharmonic functions in the higher-dimensional case	4
Geometric quantization of coupled Kähler–Einstein metrics	4
Nonuniform stability of damped contraction semigroups	4
Optimal asymptotic bounds for designs on manifolds	3
Global well-posedness and scattering for the defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2	3
A gap theorem for α-harmonic maps between two-spheres	3

Lifting in compact covering spaces for fractional Sobolev mappings	3
The strong topology of ω-plurisubharmonic functions	3
Gaussian analytic functions of bounded mean oscillation	3
L2-boundedness of gradients of single-layer potentials and uniform rectifiability	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
Brown–Halmos characterization of multi-Toeplitz operators associated with noncommutative polyhyperballs	3
Families of functionals representing Sobolev norms	3
An asymptotic expansion of two-bubble wave maps in high equivariance classes	3
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	3
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	3
Turbulent cascades in a truncation of the cubic Szegő equation and related systems	3
A Szemerédi-type theorem for subsets of the unit cube	3
Disentanglement, multilinear duality and factorisation for nonpositive operators	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Serrin’s overdetermined problem for fully nonlinear nonelliptic equations	3
Multilayer potentials for higher-order systems in rough domains	3
Global existence and scattering for quadratic NLS with potential in three dimensions	3
Propagation properties of reaction-diffusion equations in periodic domains	3
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	3
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	3
Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators	2
Long time existence of Yamabe flow on singular spaces with positive Yamabe constant	2
Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary	2
Restriction of toral eigenfunctions to totally geodesic submanifolds	2
Shift equivalences through the lens of Cuntz–Krieger algebras	2
Sharp reachability results for the heat equation in one space dimension	2
An elementary approach to free entropy theory for convex potentials	2
Arnold’s variational principle and its application to the stability of planar vortices	2
Subelliptic wave equations are never observable	2
Higher rank quantum-classical correspondence	2
Five-linear singular integral estimates of Brascamp–Lieb-type	2
Sobolev functions without compactly supported approximations	2
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	2
The Cauchy problem for the infinitesimal model in the regime of small variance	2
Wandering domains arising from Lavaurs maps with siegel disks	2
On the well-posedness problem for the derivative nonlinear Schrödinger equation	2
Talagrand’s influence inequality revisited	2
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	2
h-principle for the 2-dimensional incompressible porous media equation with viscosity jump	2
Strong ill-posedness for SQG in critical Sobolev spaces	2
A Cheeger–Müller theorem for manifolds with wedge singularities	2
Recurrence for smooth curves in the moduli space and an application to the billiard flow on nibbled ellipses	2
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	2
On the Ashbaugh–Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian	2
Semiclassical eigenvalue estimates under magnetic steps	2
Propagation of singularities for gravity-capillary water waves	2
On the global behaviors for defocusing semilinear wave equations in ℝ1+2	2
C∗-algebras isomorphically representable on lp	2
On a family of fully nonlinear integrodifferential operators : from fractional Laplacian to nonlocal Monge–Ampère	2
Mergelyan approximation theorem for holomorphic Legendrian curves	2
Multipliers and operator space structure of weak product spaces	2
On complete embedded translating solitons of the mean curvature flow that are of finite genus	2
Quantitative Obata’s theorem	2
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	2
Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy	2
On the global bifurcation diagram of the Gelfand problem	2
Finite-time blowup for a Navier–Stokes model equation for the self-amplification of strain	1
Scattering matrices and analytic torsions	1
Schwarz–Pick lemma for harmonic maps which are conformal at a point	1
Stability of traveling waves for the Burgers–Hilbert equation	1
A splitting lemma for coherent sheaves	1
Perturbed interpolation formulae and applications	1
Monge–Ampère gravitation as a Γ-limit of good rate functions	1
A simple nuclear C∗-algebra with an internal asymmetry	1
Global well-posedness for a system of quasilinear wave equations on a product space	1
Ground state properties in the quasiclassical regime	1
Volume comparison with respect to scalar curvature	1
Improved bounds for restricted projection families via weighted Fourier restriction	1
Second Ricci flow on noncompact Hermitian manifolds	1
Eigenvalue estimates for Kato-type Ricci curvature conditions	1
Exponential convergence of parabolic optimal transport on bounded domains	1
Transversal families of nonlinear projections and generalizations of Favard length	1
Maximal rigid subalgebras of deformations and L2-cohomology	1
Discrete velocity Boltzmann equations in the plane: stationary solutions	1
Improved endpoint bounds for the lacunary spherical maximal operator	1
Commutator method for averaging lemmas	1
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	1
Variational methods for the kinetic Fokker–Planck equation	1
Garland’s method with Banach coefficients	1
Sharp pointwise and uniform estimates for ∂	1

A semiclassical Birkhoff normal form for constant-rank magnetic fields	1
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	1
Least gradient problem on annuli	1
Monomial convergence on ℓr	1
Parametrix for a semiclassical subelliptic operator	1
On blowup for the supercritical quadratic wave equation	1
Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces	1
Simplices in thin subsets of Euclidean spaces	1
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	1
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	1
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
The regularity of the boundary of vortex patches for some nonlinear transport equations	1
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	1
The stability of simple plane-symmetric shock formation for three-dimensional compressible Euler flow with vorticity and entropy	1
A characterization of the Razak–Jacelon algebra	1
Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle	1
Global eigenvalue distribution of matrices defined by the skew-shift	1
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	1
Pointwise differentiability of higher-order for distributions	1
Convergence over fractals for the periodic Schrödinger equation	1
Strichartz inequalities with white noise potential on compact surfaces	1
Global stability of spacetimes with supersymmetric compactifications	1
Renormalization of determinant lines in quantum field theory	1