Analysis & Pde

Article	Citations
	33
Five-linear singular integral estimates of Brascamp–Lieb-type	24
Random Schrödinger operators with complex decaying potentials	19
	18
Bosons in a double well: two-mode approximation and fluctuations	18
A Szemerédi-type theorem for subsets of the unit cube	16
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	16
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	15
	14
	13
	13
Singular stochastic integral operators	11
Talagrand’s influence inequality revisited	10
Singular perturbation of manifold-valued maps with anisotropic energy	10
	10
A splitting lemma for coherent sheaves	9
Structure of sets with nearly maximal Favard length	9
	9
Commutator method for averaging lemmas	9
Potential well theory for the derivative nonlinear Schrödinger equation	9
	8
Discrete velocity Boltzmann equations in the plane: stationary solutions	8
The rank-one theorem on RCD spaces	8
Holomorphic factorization of mappings into Sp4(ℂ)	8
Blow-up of solutions of critical elliptic equations in three dimensions	8

Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	7
Optimal Prandtl expansion around a concave boundary layer	7
The “good” Boussinesq equation : long-time asymptotics	7
	7
Quantitative estimates in stochastic homogenization for correlated coefficient fields	7
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	7
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	7
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	7
On an electromagnetic problem in a corner and its applications	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	6
Fractal uncertainty for discrete two-dimensional Cantor sets	6
	6
Monomial convergence on ℓr	6
Higher rank quantum-classical correspondence	6
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	6
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
	5
IDA and Hankel operators on Fock spaces	5
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	5
	5
Relative heat content asymptotics for sub-Riemannian manifolds	5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
Arnold’s variational principle and its application to the stability of planar vortices	5
Uniform Skoda integrability and Calabi–Yau degeneration	4
Perturbed interpolation formulae and applications	4
A characterization of the Razak–Jacelon algebra	4
Couniversality and controlled maps on product systems over right LCM semigroups	4
Strong ill-posedness for SQG in critical Sobolev spaces	4
Large sets containing no copies of a given infinite sequence	4
Waves interacting with a partially immersed obstacle in the Boussinesq regime	4
A simple nuclear C∗-algebra with an internal asymmetry	4
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	3
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	3
Degenerating hyperbolic surfaces and spectral gaps for large genus	3
Local lens rigidity for manifolds of Anosov type	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
The Willmore flow of tori of revolution	3
A substitute for Kazhdan’s property (T) for universal nonlattices	3
The strong topology of ω-plurisubharmonic functions	3
Stability of traveling waves for the Burgers–Hilbert equation	3

Resonances for Schrödinger operators on infinite cylinders and other products	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Families of functionals representing Sobolev norms	3
Multilayer potentials for higher-order systems in rough domains	3
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals	3
	3
	3
Quantitative stability of Gel’fand’s inverse boundary problem	3
Multipliers and operator space structure of weak product spaces	3
A new approach to the Fourier extension problem for the paraboloid	3
	3
Wandering domains arising from Lavaurs maps with siegel disks	3
Diffusion in small time in incomplete sub-Riemannian manifolds	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Stable self-similar blow-up for a family of nonlocal transport equations	2
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	2
Time optimal observability for Grushin Schrödinger equation	2
Defining the spectral position of a Neumann domain	2
Linear potentials and applications in conformal geometry	2
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	2
	2
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients	2
Wave equations with initial data on compact Cauchy horizons	2
Sharp reachability results for the heat equation in one space dimension	2
Optimal asymptotic bounds for designs on manifolds	2
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	2
Schauder estimates for equations with cone metrics, II	2
Nonuniform stability of damped contraction semigroups	2
Explicit formula of radiation fields of free waves with applications on channel of energy	2
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	2
Gaussian analytic functions of bounded mean oscillation	2
The weak null condition on Kerr backgrounds	2
Monge–Ampère gravitation as a Γ-limit of good rate functions	2
L2-boundedness of gradients of single-layer potentials and uniform rectifiability	2
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	2
Riesz transform and vertical oscillation in the Heisenberg group	2
Global eigenvalue distribution of matrices defined by the skew-shift	2
Global stability of spacetimes with supersymmetric compactifications	2
A semiclassical Birkhoff normal form for constant-rank magnetic fields	2
Nonsingular Bernoulli actions of arbitrary Krieger type	2
	2
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	2
Maximal rigid subalgebras of deformations and L2-cohomology	2
	2
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	2
Connectivity conditions and boundary Poincaré inequalities	2
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	2
	2
The Cauchy problem for the infinitesimal model in the regime of small variance	2
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics	1
Disentanglement, multilinear duality and factorisation for nonpositive operators	1
Small cap decoupling for the moment curve in ℝ3	1
Quasiperiodic solutions of NLS with Liouvillean frequencies	1
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	1
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type	1
	1
Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem	1
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	1
	1
Local and global solvability for advection-diffusion equation on an evolving surface with a boundary	1
Weighted integrability of polyharmonic functions in the higher-dimensional case	1
Eigenvalue bounds for Schrödinger operators with random complex potentials	1
	1
Liouville-type theorems for minimal graphs over manifolds	1
Geometric quantization of coupled Kähler–Einstein metrics	1
	1
A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2	1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows	1
Strong cosmic censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry	1
Nonlinear periodic waves on the Einstein cylinder	1
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	1
Some refinements of the partial C0 estimate	1
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	1
Fourier decay of self-similar measures and self-similar sets of uniqueness	1
Nonexistence of the box dimension for dynamically invariant sets	1
Epsilon-regularity for the Brakke flow with boundary	1
Geometric averaging operators and nonconcentration inequalities	1
The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials	1
Strichartz estimates for mixed homogeneous surfaces in three dimensions	1

Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Global existence and scattering for quadratic NLS with potential in three dimensions	1
Plateau flow or the heat flow for half-harmonic maps	1
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator	1
The 3D strict separation property for the nonlocal Cahn–Hilliard equation with singular potential	1
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	1
A Cheeger–Müller theorem for manifolds with wedge singularities	1
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	1
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation	1
Variations of a class of Monge–Ampère-type functionals and their applications	1
On blowup for the supercritical quadratic wave equation	1
Ground state properties in the quasiclassical regime	1
Strong ill-posedness in L∞ for the Riesz transform problem	1
The prescribed curvature problem for entire hypersurfaces in Minkowski space	1
The Landau–Pekar equations : adiabatic theorem and accuracy	1
Optimal blowup stability for three-dimensional wave maps	1
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1