Analysis & Pde

Article	Citations
	50
Random Schrödinger operators with complex decaying potentials	25
Bosons in a double well: two-mode approximation and fluctuations	23
	22
	17
Five-linear singular integral estimates of Brascamp–Lieb-type	17
	16
	14
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	14
Singular perturbation of manifold-valued maps with anisotropic energy	14
	13
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	12
Commutator method for averaging lemmas	12
Discrete velocity Boltzmann equations in the plane: stationary solutions	11
Talagrand’s influence inequality revisited	11
Structure of sets with nearly maximal Favard length	11
	11
Compactness results for sign-changing solutions of critical nonlinear elliptic equations of low energy	11
Optimal Prandtl expansion around a concave boundary layer	10
The “good” Boussinesq equation : long-time asymptotics	10
	10
Holomorphic factorization of mappings into Sp4(ℂ)	10
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	10
The rank-one theorem on RCD spaces	10
	9

Hessian estimates for special Lagrangian equation by doubling	9
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	9
	9
Blow-up of solutions of critical elliptic equations in three dimensions	9
Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	9
Reconstruction for the Calderón problem with Lipschitz conductivities	9
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	8
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	8
Margulis lemma on RCD(K,N) spaces	8
The existence of topological solutions to the Chern–Simons model on lattice graphs	8
Lower bounds on fibered Yang–Mills functionals : generic nefness and semistability of direct images	7
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	7
	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	6
	6
Microlocal analysis near null infinity in asymptotically flat spacetimes	6
ℓ2 decoupling theorem for surfaces in ℝ3	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
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Higher rank quantum-classical correspondence	6
IDA and Hankel operators on Fock spaces	6
Existence of resonances for Schrödinger operators on hyperbolic space	6
Entropy maximization in the two-dimensional Euler equations	5
Large sets containing no copies of a given infinite sequence	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
Relative heat content asymptotics for sub-Riemannian manifolds	5
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	5
	5
Strong ill-posedness for SQG in critical Sobolev spaces	5
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
	4
The Willmore flow of tori of revolution	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	4
Couniversality and controlled maps on product systems over right LCM semigroups	4
Stability of traveling waves for the Burgers–Hilbert equation	4
The strong topology of ω-plurisubharmonic functions	4
	4
Wandering domains arising from Lavaurs maps with siegel disks	4
A characterization of the Razak–Jacelon algebra	4
Arnold’s variational principle and its application to the stability of planar vortices	4
Local lens rigidity for manifolds of Anosov type	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
A new approach to the Fourier extension problem for the paraboloid	4
Families of functionals representing Sobolev norms	4

A simple nuclear C∗-algebra with an internal asymmetry	4
Perturbed interpolation formulae and applications	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	3
	3
Nonsingular Bernoulli actions of arbitrary Krieger type	3
The weak null condition on Kerr backgrounds	3
A Marcinkiewicz multiplier theory for Schur multipliers	3
Equivariant property Gamma and the tracial local-to-global principle for C∗-dynamics	3
Nonuniform stability of damped contraction semigroups	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
The Cauchy problem for the infinitesimal model in the regime of small variance	3
A fast point charge interacting with the screened Vlasov–Poisson system	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
Connectivity conditions and boundary Poincaré inequalities	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	3
	3
Robust nonlocal trace and extension theorems	3
Riesz transform and vertical oscillation in the Heisenberg group	3
Regularized Brascamp–Lieb inequalities	3
Schauder estimates for equations with cone metrics, II	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3
Global stability of spacetimes with supersymmetric compactifications	3
	3
Gaussian analytic functions of bounded mean oscillation	3
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	3
Focusing dynamics of 2D Bose gases in the instability regime	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
	3
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	2
Linear potentials and applications in conformal geometry	2
Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem	2
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation	2
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	2
Local and global solvability for advection-diffusion equation on an evolving surface with a boundary	2
Plateau flow or the heat flow for half-harmonic maps	2
Ground state properties in the quasiclassical regime	2
Fourier decay of self-similar measures and self-similar sets of uniqueness	2
The Sobolev inequalities on real hyperbolic spaces and eigenvalue bounds for Schrödinger operators with complex potentials	2
The σk-Loewner–Nirenberg problem on Riemannian manifolds for k <	2
Complex Hessian measures with respect to a background Hermitian form	2
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type	2
The 3D strict separation property for the nonlocal Cahn–Hilliard equation with singular potential	2
On blowup for the supercritical quadratic wave equation	2
Strichartz estimates for mixed homogeneous surfaces in three dimensions	2
A Cheeger–Müller theorem for manifolds with wedge singularities	2
Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms	2
Epsilon-regularity for the Brakke flow with boundary	2
A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2	2
The prescribed curvature problem for entire hypersurfaces in Minkowski space	2
Time optimal observability for Grushin Schrödinger equation	2
Entropy solutions to the macroscopic incompressible porous media equation	2
Sharp reachability results for the heat equation in one space dimension	2
Defining the spectral position of a Neumann domain	2
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates	2
Microlocal partition of energy for fractional-type dispersive equations	2
Strong cosmic censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry	2
Disentanglement, multilinear duality and factorisation for nonpositive operators	2
	2
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	2
Eigenvalue bounds for Schrödinger operators with random complex potentials	2
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2
Finite-time blowup for a Navier–Stokes model equation for the self-amplification of strain	1
Trigonometric chaos and Xp inequalities, I : Balanced Fourier truncations over discrete groups	1
Rotating spirals in segregated reaction-diffusion systems	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
Growth of high Lp norms for eigenfunctions : an application of geodesic beams	1
Improved endpoint bounds for the lacunary spherical maximal operator	1
Continuous symmetrizations and uniqueness of solutions to nonlocal equations	1
Semiclassical propagation through cone points	1
A generalization of the Beurling–Malliavin majorant theorem	1
Optimal regularity of solutions to no-sign obstacle-type problems for the sub-Laplacian	1
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	1
	1
	1
Optimal blowup stability for three-dimensional wave maps	1

Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund-type spaces	1
Stability and instability in scalar balance laws: fronts and periodic waves	1
Directional square functions	1
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Decoupling inequalities for short generalized Dirichlet sequences	1
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator	1
Global well-posedness for two-dimensional inhomogeneous viscous flows with rough data via dynamic interpolation	1
Characterization of weighted Hardy spaces on which all composition operators are bounded	1
The Landau equation as a gradient Flow	1
Norm-variation of triple ergodic averages for commuting transformations	1
A sharp trace Adams inequality in ℝ4 and existence of the extremals	1
Strong ill-posedness in L∞ for the Riesz transform problem	1
Nonexistence of the box dimension for dynamically invariant sets	1
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	1
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	1
	1
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	1
Nonlinear periodic waves on the Einstein cylinder	1
Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy	1
Singularities of the Chern–Ricci flow	1
Consequences of the random matrix solution to the Peterson–Thom conjecture	1
Schwarz–Pick lemma for harmonic maps which are conformal at a point	1
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group	1
On nonuniqueness of Hölder continuous globally dissipative Euler flows	1
On the well-posedness problem for the derivative nonlinear Schrödinger equation	1
Quantitative stability for complex Monge–Ampère equations, I	1
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	1
	1
Small cap decoupling for the moment curve in ℝ3	1
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows	1
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics	1