Analysis & Pde

Papers
(The median citation count of Analysis & Pde is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)
ArticleCitations
Strichartz estimates for mixed homogeneous surfaces in three dimensions26
Boundary layer of the Boltzmann equation in 2-dimensional convex domains25
21
Translating solutions to the Gauss curvature flow with flat sides19
Directional square functions19
Classical and microlocal analysis of the x-ray transform on Anosov manifolds16
Bosons in a double well: two-mode approximation and fluctuations13
Nonsingular Bernoulli actions of arbitrary Krieger type13
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves13
13
Existence of resonances for Schrödinger operators on hyperbolic space12
A homogenized limit for the 2-dimensional Euler equations in a perforated domain11
Nonnegative Ricci curvature and minimal graphs with linear growth11
11
Haagerup’s phase transition at polydisc slicing10
10
On blowup for the supercritical quadratic wave equation10
A Cheeger–Müller theorem for manifolds with wedge singularities10
Nonuniform stability of damped contraction semigroups9
Convergence over fractals for the periodic Schrödinger equation8
On the global bifurcation diagram of the Gelfand problem8
Marstrand–Mattila rectifiability criterion for 1-codimensional measures in Carnot groups7
Besov-ish spaces through atomic decomposition7
Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions7
Second Ricci flow on noncompact Hermitian manifolds7
Monomial convergence on ℓr7
Some refinements of the partial C0 estimate7
Relative heat content asymptotics for sub-Riemannian manifolds7
Regular domains and surfaces of constant Gaussian curvature in 3-dimensional affine space7
Global integrability and weak Harnack estimates for elliptic PDEs in divergence form7
Global well-posedness for a system of quasilinear wave equations on a product space6
Volume comparison with respect to scalar curvature6
Equivariant property (SI) revisited6
Connectivity conditions and boundary Poincaré inequalities6
Subelliptic wave equations are never observable6
The Peskin problem with viscosity contrast6
On complete embedded translating solitons of the mean curvature flow that are of finite genus6
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets6
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential6
IDA and Hankel operators on Fock spaces6
Five-linear singular integral estimates of Brascamp–Lieb-type6
Banach space actions and L2-spectral gap6
The deformed Hermitian Yang–Mills equation on three-folds5
Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities5
The weak null condition on Kerr backgrounds5
Noncommutative Furstenberg boundary5
Liouville-type theorems for minimal graphs over manifolds5
Singular stochastic integral operators5
Dynamical torsion for contact Anosov flows5
A Poincaré–Steklov map for the MIT bag model5
C1,α-regularity for variational problems in the Heisenberg group5
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem5
Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials5
5
Classification of convex ancient free-boundary curve-shortening flows in the disc4
4
Garland’s method with Banach coefficients4
4
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices4
Generic KAM Hamiltonians are not quantum ergodic4
The Green function with pole at infinity applied to the study of the elliptic measure4
A simple nuclear C∗-algebra with an internal asymmetry4
Exponential integrability in Gauss space4
Uniform Skoda integrability and Calabi–Yau degeneration4
A Wess–Zumino–Witten type equation in the space of Kähler potentials in terms of Hermitian–Yang–Mills metrics4
Wave maps on (1+2)-dimensional curved spacetimes3
Couniversality and controlled maps on product systems over right LCM semigroups3
Explicit formula of radiation fields of free waves with applications on channel of energy3
Revisiting the C1,αh-principle for the Monge–Ampère equation3
Singular perturbation of manifold-valued maps with anisotropic energy3
Large-scale regularity for the stationary Navier–Stokes equations over non-Lipschitz boundaries3
A characterization of the Razak–Jacelon algebra3
Sharp pointwise and uniform estimates for ∂3
3
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation3
3
Perturbed interpolation formulae and applications3
3
3
3
A controlled tangential Julia–Carathéodory theory via averaged Julia quotients3
Partial regularity for Navier–Stokes and liquid crystals inequalities without maximum principle3
Variations of a class of Monge–Ampère-type functionals and their applications3
On L∞ estimates for Monge–Ampère and Hessian equations on nef classes3
Multichannel scattering theory for Toeplitz operators with piecewise continuous symbols3
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential3
Nonexistence of the box dimension for dynamically invariant sets3
Hardy spaces on Riemannian manifolds with quadratic curvature decay2
Multipliers and operator space structure of weak product spaces2
On the endpoint regularity in Onsager’s conjecture2
Degenerating hyperbolic surfaces and spectral gaps for large genus2
Lp-polarity, Mahler volumes, and the isotropic constant2
Near-critical reflection of internal waves2
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein–Uhlenbeck operator2
2
Strong ill-posedness for SQG in critical Sobolev spaces2
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation2
On full asymptotics of real analytic torsions for compact locally symmetric orbifolds2
Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow2
Geometric quantization of coupled Kähler–Einstein metrics2
2
2
2
Structure of sets with nearly maximal Favard length2
Arnold’s variational principle and its application to the stability of planar vortices2
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature2
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data2
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton2
L2-boundedness of gradients of single-layer potentials and uniform rectifiability2
Waves interacting with a partially immersed obstacle in the Boussinesq regime2
Resonances for Schrödinger operators on infinite cylinders and other products2
Sharp reachability results for the heat equation in one space dimension2
Characterization of rectifiability via Lusin-type approximation2
On a family of fully nonlinear integrodifferential operators : from fractional Laplacian to nonlocal Monge–Ampère2
A Szemerédi-type theorem for subsets of the unit cube2
2
Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems2
Turbulent cascades in a truncation of the cubic Szegő equation and related systems2
The stability of the Minkowski space for the Einstein–Vlasov system2
The singular strata of a free-boundary problem for harmonic measure2
Large sets containing no copies of a given infinite sequence2
Noncommutative maximal operators with rough kernels2
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds1
Maximal rigid subalgebras of deformations and L2-cohomology1
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain1
Potential well theory for the derivative nonlinear Schrödinger equation1
Nonlinear periodic waves on the Einstein cylinder1
Talagrand’s influence inequality revisited1
Gaussian analytic functions of bounded mean oscillation1
Local lens rigidity for manifolds of Anosov type1
Stability and instability in scalar balance laws: fronts and periodic waves1
C∞ partial regularity of the singular set in the obstacle problem1
Anisotropic micropolar fluids subject to a uniform microtorque: the stable case1
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity1
Multilayer potentials for higher-order systems in rough domains1
1
Commutator method for averaging lemmas1
1
Scattering matrices and analytic torsions1
Shift equivalences through the lens of Cuntz–Krieger algebras1
Unique continuation for the heat operator with potentials in weak spaces1
Sign-changing solutions for critical equations with Hardy potential1
A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form1
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows1
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller1
1
A splitting lemma for coherent sheaves1
Mathematics of internal waves in a two-dimensional aquarium1
h-principle for the 2-dimensional incompressible porous media equation with viscosity jump1
Global regularity for the nonlinear wave equation with slightly supercritical power1
Diffusion in small time in incomplete sub-Riemannian manifolds1
Existence and regularity estimates for quasilinear equations with measure data : the case 1 < p ≤ (3n − 2)∕(2n − 1)1
Long-range scattering matrix for Schrödinger-type operators1
Mergelyan approximation theorem for holomorphic Legendrian curves1
Blow-up of solutions of critical elliptic equations in three dimensions1
Global well-posedness of Vlasov–Poisson-type systems in bounded domains1
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras1
Small cap decoupling for the moment curve in ℝ31
An improved regularity criterion and absence of splash-like singularities for g-SQG patches1
Global existence and scattering for quadratic NLS with potential in three dimensions1
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications1
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori1
On a spatially inhomogeneous nonlinear Fokker–Planck equation : Cauchy problem and diffusion asymptotics1
Stability of traveling waves for the Burgers–Hilbert equation1
The strong topology of ω-plurisubharmonic functions1
Parabolic dimensional reductions of 11-dimensional supergravity1
L2 bounds for a maximal directional Hilbert transform1
Discrete velocity Boltzmann equations in the plane: stationary solutions1
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows1
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