Analysis & Pde

Article	Citations
Strichartz estimates for mixed homogeneous surfaces in three dimensions	32
Boundary layer of the Boltzmann equation in 2-dimensional convex domains	21
	19
	16
Directional square functions	16
Random Schrödinger operators with complex decaying potentials	15
Rotating waves in nonlinear media and critical degenerate Sobolev inequalities	13
	13
Nonsingular Bernoulli actions of arbitrary Krieger type	12
The deformed Hermitian Yang–Mills equation on three-folds	11
Bosons in a double well: two-mode approximation and fluctuations	11
Existence of resonances for Schrödinger operators on hyperbolic space	11
	10
A homogenized limit for the 2-dimensional Euler equations in a perforated domain	10
Nonnegative Ricci curvature and minimal graphs with linear growth	9
	8
Convergence over fractals for the periodic Schrödinger equation	8
A Cheeger–Müller theorem for manifolds with wedge singularities	8
On the global bifurcation diagram of the Gelfand problem	8
Haagerup’s phase transition at polydisc slicing	8
On blowup for the supercritical quadratic wave equation	8
Monomial convergence on ℓr	7
Second Ricci flow on noncompact Hermitian manifolds	7
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space	7
Besov-ish spaces through atomic decomposition	7

Marstrand–Mattila rectifiability criterion for 1-codimensional measures in Carnot groups	7
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form	7
Relative heat content asymptotics for sub-Riemannian manifolds	7
Some refinements of the partial C0 estimate	6
Five-linear singular integral estimates of Brascamp–Lieb-type	6
Connectivity conditions and boundary Poincaré inequalities	6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential	6
IDA and Hankel operators on Fock spaces	6
Equivariant property (SI) revisited	6
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	6
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions	6
Volume comparison with respect to scalar curvature	6
On complete embedded translating solitons of the mean curvature flow that are of finite genus	6
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets	6
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves	5
Subelliptic wave equations are never observable	5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem	5
Liouville-type theorems for minimal graphs over manifolds	5
The Peskin problem with viscosity contrast	5
Nonuniform stability of damped contraction semigroups	5
Global well-posedness for a system of quasilinear wave equations on a product space	5
Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities	5
	4
The weak null condition on Kerr backgrounds	4
Classification of convex ancient free-boundary curve-shortening flows in the disc	4
Exponential integrability in Gauss space	4
Optimal blowup stability for three-dimensional wave maps	4
	4
	4
Noncommutative Furstenberg boundary	4
Singular stochastic integral operators	4
A Poincaré–Steklov map for the MIT bag model	4
Uniform Skoda integrability and Calabi–Yau degeneration	4
Generic KAM Hamiltonians are not quantum ergodic	3
	3
Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle	3
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients	3
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton	3
Wave maps on (1+2)-dimensional curved spacetimes	3
A simple nuclear C∗-algebra with an internal asymmetry	3
	3
Couniversality and controlled maps on product systems over right LCM semigroups	3
	3
Explicit formula of radiation fields of free waves with applications on channel of energy	3
Perturbed interpolation formulae and applications	3
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation	3
	3
Garland’s method with Banach coefficients	3
The Green function with pole at infinity applied to the study of the elliptic measure	3
	3

Revisiting the C1,αh-principle for the Monge–Ampère equation	3
On L∞ estimates for Monge–Ampère and Hessian equations on nef classes	3
Strong ill-posedness in L∞ for the Riesz transform problem	3
Variations of a class of Monge–Ampère-type functionals and their applications	3
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics	3
	2
Turbulent cascades in a truncation of the cubic Szegő equation and related systems	2
Strong ill-posedness for SQG in critical Sobolev spaces	2
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	2
A characterization of the Razak–Jacelon algebra	2
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential	2
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature	2
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator	2
	2
Sharp pointwise and uniform estimates for ∂	2
Commutator method for averaging lemmas	2
Noncommutative maximal operators with rough kernels	2
Characterization of rectifiability via Lusin-type approximation	2
On a family of fully nonlinear integrodifferential operators : from fractional Laplacian to nonlocal Monge–Ampère	2
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow	2
The singular strata of a free-boundary problem for harmonic measure	2
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds	2
	2
	2
Multichannel scattering theory for Toeplitz operators with piecewise continuous symbols	2
Geometric quantization of coupled Kähler–Einstein metrics	2
Singular perturbation of manifold-valued maps with anisotropic energy	2
Waves interacting with a partially immersed obstacle in the Boussinesq regime	2
Multipliers and operator space structure of weak product spaces	2
On the endpoint regularity in Onsager’s conjecture	2
Degenerating hyperbolic surfaces and spectral gaps for large genus	2
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data	2
On the singularities of the spectral and Bergman projections on complex manifolds with boundary	2
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices	2
Nonexistence of the box dimension for dynamically invariant sets	2
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries	2
	2
	2
L2-boundedness of gradients of single-layer potentials and uniform rectifiability	2
Dynamical torsion for contact Anosov flows	2
A Szemerédi-type theorem for subsets of the unit cube	2
Large sets containing no copies of a given infinite sequence	2
Arnold’s variational principle and its application to the stability of planar vortices	2
Lp-polarity, Mahler volumes, and the isotropic constant	2
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds	1
Potential well theory for the derivative nonlinear Schrödinger equation	1
Resonances for Schrödinger operators on infinite cylinders and other products	1
Sharp reachability results for the heat equation in one space dimension	1
Nonlinear periodic waves on the Einstein cylinder	1
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form	1
Smooth extensions for inertial manifolds of semilinear parabolic equations	1
Blow-up of solutions of critical elliptic equations in three dimensions	1
Stochastic homogenization for variational solutions of Hamilton–Jacobi equations	1
	1
Talagrand’s influence inequality revisited	1
	1
Global existence and scattering for quadratic NLS with potential in three dimensions	1
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)	1
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity	1
C∞ partial regularity of the singular set in the obstacle problem	1
Stability of traveling waves for the Burgers–Hilbert equation	1
Hardy spaces on Riemannian manifolds with quadratic curvature decay	1
An improved regularity criterion and absence of splash-like singularities for g-SQG patches	1
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics	1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains	1
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime	1
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras	1
Quantitative stability of Gel’fand’s inverse boundary problem	1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows	1
Stability and instability in scalar balance laws: fronts and periodic waves	1
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case	1
Gaussian analytic functions of bounded mean oscillation	1
The strong topology of ω-plurisubharmonic functions	1
A splitting lemma for coherent sheaves	1
h-principle for the 2-dimensional incompressible porous media equation with viscosity jump	1
Mathematics of internal waves in a two-dimensional aquarium	1
	1
Mergelyan approximation theorem for holomorphic Legendrian curves	1
Unique continuation for the heat operator with potentials in weak spaces	1
Discrete velocity Boltzmann equations in the plane: stationary solutions	1

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Structure of sets with nearly maximal Favard length	1
Shift equivalences through the lens of Cuntz–Krieger algebras	1
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain	1
Local lens rigidity for manifolds of Anosov type	1
Linear potentials and applications in conformal geometry	1
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori	1
Small cap decoupling for the moment curve in ℝ3	1