Analysis & Pde

Article	Citations
	53
Random Schrödinger operators with complex decaying potentials	26
Bosons in a double well: two-mode approximation and fluctuations	23
	23
Five-linear singular integral estimates of Brascamp–Lieb-type	18
	17
	16
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	15
	14
Singular perturbation of manifold-valued maps with anisotropic energy	14
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	13
A bilinear fractional integral operator for Euler–Riesz systems	13
	13
	12
Commutator method for averaging lemmas	12
Talagrand’s influence inequality revisited	12
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes	11
Discrete velocity Boltzmann equations in the plane: stationary solutions	11
Compactness results for sign-changing solutions of critical nonlinear elliptic equations of low energy	11
Structure of sets with nearly maximal Favard length	11
The rank-one theorem on RCD spaces	10
Optimal Prandtl expansion around a concave boundary layer	10
	10
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	10
	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
Mean curvature flow with multiplicity 2 convergence in ℝ3	9
Holomorphic factorization of mappings into Sp4(ℂ)	9
Measure propagation along a ????0-vector field and wave controllability on a rough compact manifold	9
The “good” Boussinesq equation : long-time asymptotics	9
	8
A new approach to the mean-field limit of Vlasov–Fokker–Planck equations	8
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus	8
Hessian estimates for special Lagrangian equation by doubling	8
Reconstruction for the Calderón problem with Lipschitz conductivities	7
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere	7
The existence of topological solutions to the Chern–Simons model on lattice graphs	7
	7
Margulis lemma on RCD(K,N) spaces	7
Fractal uncertainty for discrete two-dimensional Cantor sets	6
Multijet bundles and application to the finiteness of moments for zeros of Gaussian fields	6
	6
ℓ2 decoupling theorem for surfaces in ℝ3	6
Partial regularity of Leray–Hopf weak solutions to the incompressible Navier–Stokes equations with hyperdissipation	6
Relative heat content asymptotics for sub-Riemannian manifolds	6
Higher rank quantum-classical correspondence	6
Lower bounds on fibered Yang–Mills functionals : generic nefness and semistability of direct images	6
Nonnegative Ricci curvature and minimal graphs with linear growth	6
Classification of convex ancient free-boundary curve-shortening flows in the disc	5
	5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	5
Entropy maximization in the two-dimensional Euler equations	5
Uniform Skoda integrability and Calabi–Yau degeneration	5
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	5
IDA and Hankel operators on Fock spaces	5
Large sets containing no copies of a given infinite sequence	5
A characterization of the Razak–Jacelon algebra	5
Existence of resonances for Schrödinger operators on hyperbolic space	5
Microlocal analysis near null infinity in asymptotically flat spacetimes	5
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
Local lens rigidity for manifolds of Anosov type	4
Degenerating hyperbolic surfaces and spectral gaps for large genus	4
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	4
A new approach to the Fourier extension problem for the paraboloid	4
Wandering domains arising from Lavaurs maps with siegel disks	4
Resonances for Schrödinger operators on infinite cylinders and other products	4
Arnold’s variational principle and its application to the stability of planar vortices	4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	4
Hardy spaces on Riemannian manifolds with quadratic curvature decay	4
Spectral estimates for free boundary minimal surfaces via Montiel–Ros partitioning methods	4
Quantitative stability of Gel’fand’s inverse boundary problem	4
	4
A simple nuclear C∗-algebra with an internal asymmetry	4

Perturbed interpolation formulae and applications	4
Strong ill-posedness for SQG in critical Sobolev spaces	4
Stability of traveling waves for the Burgers–Hilbert equation	4
The strong topology of ω-plurisubharmonic functions	4
	4
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	4
Robust nonlocal trace and extension theorems	3
	3
Riesz transform and vertical oscillation in the Heisenberg group	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
Families of functionals representing Sobolev norms	3
A semiclassical Birkhoff normal form for constant-rank magnetic fields	3
Schauder estimates for equations with cone metrics, II	3
A Marcinkiewicz multiplier theory for Schur multipliers	3
Focusing dynamics of 2D Bose gases in the instability regime	3
	3
Nonsingular Bernoulli actions of arbitrary Krieger type	3
Ill-posedness for dispersive equations : degenerate dispersion and the Takeuchii–Mizohata condition	3
Regularized Brascamp–Lieb inequalities	3
Global stability of spacetimes with supersymmetric compactifications	3
Beurling–Carleson sets, inner functions and a semilinear equation	3
	3
Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures	3
The weak null condition on Kerr backgrounds	3
Equivariant property Gamma and the tracial local-to-global principle for C∗-dynamics	3
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	3
Connectivity conditions and boundary Poincaré inequalities	3
A substitute for Kazhdan’s property (T) for universal nonlattices	3
	3
A sharp stability criterion for Euler equations via sparseness	3
The Willmore flow of tori of revolution	3
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends	3
Monge–Ampère gravitation as a Γ-limit of good rate functions	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
Nonuniform stability of damped contraction semigroups	3
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	3
Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms	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
Defining the spectral position of a Neumann domain	2
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	2
	2
The σk-Loewner–Nirenberg problem on Riemannian manifolds for k <	2
Local and global solvability for advection-diffusion equation on an evolving surface with a boundary	2
A Cheeger–Müller theorem for manifolds with wedge singularities	2
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	2
Optimal blowup stability for three-dimensional wave maps	2
Strong cosmic censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry	2
Epsilon-regularity for the Brakke flow with boundary	2
A uniqueness result for the two-vortex traveling wave in the nonlinear Schrödinger equation	2
The prescribed curvature problem for entire hypersurfaces in Minkowski space	2
Time optimal observability for Grushin Schrödinger equation	2
Complex Hessian measures with respect to a background Hermitian form	2
Sharp reachability results for the heat equation in one space dimension	2
Gaussian analytic functions of bounded mean oscillation	2
Plateau flow or the heat flow for half-harmonic maps	2
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	2
On blowup for the supercritical quadratic wave equation	2
Strichartz estimates for mixed homogeneous surfaces in three dimensions	2
Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates	2
Dimensions of Furstenberg sets and an extension of Bourgain’s projection theorem	2
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2
Ground state properties in the quasiclassical regime	2
Eigenvalue bounds for Schrödinger operators with random complex potentials	2
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	2
Entropy solutions to the macroscopic incompressible porous media equation	2
Linear potentials and applications in conformal geometry	2
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type	2
	2
A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2	2
Microlocal partition of energy for fractional-type dispersive equations	2
Disentanglement, multilinear duality and factorisation for nonpositive operators	2
The 3D strict separation property for the nonlocal Cahn–Hilliard equation with singular potential	2
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Semiclassical propagation through cone points	1
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	1
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows	1
Decoupling inequalities for short generalized Dirichlet sequences	1

Strong ill-posedness in L∞ for the Riesz transform problem	1
Directional square functions	1
	1
Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy	1
Rotating spirals in segregated reaction-diffusion systems	1
Improved endpoint bounds for the lacunary spherical maximal operator	1
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics	1
A sharp trace Adams inequality in ℝ4 and existence of the extremals	1
The Landau equation as a gradient Flow	1
On the well-posedness problem for the derivative nonlinear Schrödinger equation	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
Nonlinear periodic waves on the Einstein cylinder	1
Stability and instability in scalar balance laws: fronts and periodic waves	1
Small cap decoupling for the moment curve in ℝ3	1
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund-type spaces	1
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	1
	1
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	1
Schwarz–Pick lemma for harmonic maps which are conformal at a point	1
Consequences of the random matrix solution to the Peterson–Thom conjecture	1
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	1
Optimal regularity of solutions to no-sign obstacle-type problems for the sub-Laplacian	1
Trigonometric chaos and Xp inequalities, I : Balanced Fourier truncations over discrete groups	1
	1
Characterization of weighted Hardy spaces on which all composition operators are bounded	1
	1
On nonuniqueness of Hölder continuous globally dissipative Euler flows	1
Singularities of the Chern–Ricci flow	1
Finite-time blowup for a Navier–Stokes model equation for the self-amplification of strain	1
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator	1
Convergence over fractals for the periodic Schrödinger equation	1
Nonexistence of the box dimension for dynamically invariant sets	1
	1
	1
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group	1
Global well-posedness for two-dimensional inhomogeneous viscous flows with rough data via dynamic interpolation	1
Growth of high Lp norms for eigenfunctions : an application of geodesic beams	1
A generalization of the Beurling–Malliavin majorant theorem	1
Norm-variation of triple ergodic averages for commuting transformations	1
Continuous symmetrizations and uniqueness of solutions to nonlocal equations	1
Quantitative stability for complex Monge–Ampère equations, I	1
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	1