Analysis & Pde

Article	Citations
	39
Random Schrödinger operators with complex decaying potentials	25
Bosons in a double well: two-mode approximation and fluctuations	20
	19
	16
	16
	16
Five-linear singular integral estimates of Brascamp–Lieb-type	16
	15
Singular perturbation of manifold-valued maps with anisotropic energy	14
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	14
Singular stochastic integral operators	12
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	10
	10
Talagrand’s influence inequality revisited	10
A splitting lemma for coherent sheaves	10
A Szemerédi-type theorem for subsets of the unit cube	10
Commutator method for averaging lemmas	10
Structure of sets with nearly maximal Favard length	9
Optimal Prandtl expansion around a concave boundary layer	9
Discrete velocity Boltzmann equations in the plane: stationary solutions	9
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	9
	9
Holomorphic factorization of mappings into Sp4(ℂ)	9
Quantitative estimates in stochastic homogenization for correlated coefficient fields	8

Blow-up of solutions of critical elliptic equations in three dimensions	8
C1,1 regularity of degenerate complex Monge–Ampère equations and some applications	7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	7
	7
The rank-one theorem on RCD spaces	7
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	7
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	7
The “good” Boussinesq equation : long-time asymptotics	7
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	7
On an electromagnetic problem in a corner and its applications	7
IDA and Hankel operators on Fock spaces	6
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	6
	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
	6
	6
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	6
	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	6
A simple nuclear C∗-algebra with an internal asymmetry	6
Reconstruction for the Calderón problem with Lipschitz conductivities	6
Higher rank quantum-classical correspondence	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
Arnold’s variational principle and its application to the stability of planar vortices	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
Resonances for Schrödinger operators on infinite cylinders and other products	5
Perturbed interpolation formulae and applications	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	5
Large sets containing no copies of a given infinite sequence	5
A characterization of the Razak–Jacelon algebra	5
Couniversality and controlled maps on product systems over right LCM semigroups	5
Hardy spaces on Riemannian manifolds with quadratic curvature decay	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
Local lens rigidity for manifolds of Anosov type	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
	4
Multipliers and operator space structure of weak product spaces	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
A new approach to the Fourier extension problem for the paraboloid	4
Stability of traveling waves for the Burgers–Hilbert equation	4

Quantitative stability of Gel’fand’s inverse boundary problem	4
The strong topology of ω-plurisubharmonic functions	4
	4
	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Diffusion in small time in incomplete sub-Riemannian manifolds	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3
Schauder estimates for equations with cone metrics, II	3
Wave equations with initial data on compact Cauchy horizons	3
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
Global stability of spacetimes with supersymmetric compactifications	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
Families of functionals representing Sobolev norms	3
Optimal asymptotic bounds for designs on manifolds	3
Reconstruction and stability in Gelfand’s inverse interior spectral problem	3
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	3
A substitute for Kazhdan’s property (T) for universal nonlattices	3
The Willmore flow of tori of revolution	3
Wandering domains arising from Lavaurs maps with siegel disks	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
	3
Regularized Brascamp–Lieb inequalities	3
Riesz transform and vertical oscillation in the Heisenberg group	3
Plateau flow or the heat flow for half-harmonic maps	2
	2
Defining the spectral position of a Neumann domain	2
The Landau–Pekar equations : adiabatic theorem and accuracy	2
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	2
Maximal rigid subalgebras of deformations and L2-cohomology	2
Linear potentials and applications in conformal geometry	2
The weak null condition on Kerr backgrounds	2
Connectivity conditions and boundary Poincaré inequalities	2
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	2
	2
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type	2
Local and global solvability for advection-diffusion equation on an evolving surface with a boundary	2
Weighted integrability of polyharmonic functions in the higher-dimensional case	2
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients	2
Eigenvalue bounds for Schrödinger operators with random complex potentials	2
Sharp reachability results for the heat equation in one space dimension	2
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	2
Equivariant property Gamma and the tracial local-to-global principle for C∗-dynamics	2
Time optimal observability for Grushin Schrödinger equation	2
Nonsingular Bernoulli actions of arbitrary Krieger type	2
	2
Gaussian analytic functions of bounded mean oscillation	2
Disentanglement, multilinear duality and factorisation for nonpositive operators	2
Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem	2
Epsilon-regularity for the Brakke flow with boundary	2
The prescribed curvature problem for entire hypersurfaces in Minkowski space	2
Explicit formula of radiation fields of free waves with applications on channel of energy	2
The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials	2
	2
Fourier decay of self-similar measures and self-similar sets of uniqueness	2
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	2
Nonuniform stability of damped contraction semigroups	2
	2
A Marcinkiewicz multiplier theory for Schur multipliers	2
Geometric averaging operators and nonconcentration inequalities	2
Parabolic dimensional reductions of 11-dimensional supergravity	1
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics	1
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	1
Small cap decoupling for the moment curve in ℝ3	1
Strichartz estimates for mixed homogeneous surfaces in three dimensions	1
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	1
Nonexistence of the box dimension for dynamically invariant sets	1
Ground state properties in the quasiclassical regime	1
A Cheeger–Müller theorem for manifolds with wedge singularities	1
Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms	1
	1
Strong ill-posedness in L∞ for the Riesz transform problem	1
On the expected Betti numbers of the nodal set of random fields	1
Semiclassical propagation through cone points	1
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Geometric quantization of coupled Kähler–Einstein metrics	1

	1
Liouville-type theorems for minimal graphs over manifolds	1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows	1
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation	1
	1
Strong cosmic censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry	1
Quasiperiodic solutions of NLS with Liouvillean frequencies	1
Optimal blowup stability for three-dimensional wave maps	1
Global well-posedness and scattering for the defocusing Ḣ1∕2-critical nonlinear Schrödinger equation in ℝ2	1
	1
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
Global existence and scattering for quadratic NLS with potential in three dimensions	1
Some refinements of the partial C0 estimate	1
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator	1
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	1
Nonlinear periodic waves on the Einstein cylinder	1
On blowup for the supercritical quadratic wave equation	1
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	1
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	1
The 3D strict separation property for the nonlocal Cahn–Hilliard equation with singular potential	1
A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2	1
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	1
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	1
Decoupling inequalities for short generalized Dirichlet sequences	1
Stability and instability in scalar balance laws: fronts and periodic waves	1