Analysis & Pde

Papers
(The TQCC of Analysis & Pde is 4. 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 2020-05-01 to 2024-05-01.)
ArticleCitations
Regularity results for generalized double phase functionals43
On the regularity of minimizers for scalar integral functionals with (p,q)-growth29
New formulas for the Laplacian of distance functions and applications25
The stability of the Minkowski space for the Einstein–Vlasov system23
The Schauder estimate for kinetic integral equations22
On an electromagnetic problem in a corner and its applications21
Variations of a class of Monge–Ampère-type functionals and their applications17
Nuclear dimension of simple stably projectionless C∗-algebras17
Well-posedness of the hydrostatic Navier–Stokes equations15
A proof of the instability of AdS for the Einstein-null dust system with an inner mirror13
Quantitative estimates in stochastic homogenization for correlated coefficient fields13
Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves13
The “good” Boussinesq equation : long-time asymptotics12
C1,α-regularity for variational problems in the Heisenberg group12
Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems11
Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields11
Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions11
On the existence of translating solutions of mean curvature flow in slab regions10
The 1-dimensional nonlinear Schrödinger equation with a weighted L1 potential10
Stable self-similar blow-up for a family of nonlocal transport equations10
Existence and stability of infinite time bubble towers in the energy critical heat equation10
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals10
Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications9
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices9
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations9
Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential8
Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller8
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime8
Equivariant property (SI) revisited8
Boundary value problems for second-order elliptic operators with complex coefficients8
On the propagation of regularity for solutions of the dispersion generalized Benjamin–Ono equation7
Quantitative comparisons of multiscale geometric properties7
On the expected Betti numbers of the nodal set of random fields7
Singular stochastic integral operators7
Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem7
The Landau–Pekar equations : adiabatic theorem and accuracy7
On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi–Nash–Moser regularity7
The deformed Hermitian Yang–Mills equation on three-folds7
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities7
Benjamini–Schramm convergence and spectra of random hyperbolic surfaces of high genus7
On the sharp upper bound related to the weak Muckenhoupt–Wheeden conjecture6
Convex projective surfaces with compatible Weyl connection are hyperbolic6
Translating solutions to the Gauss curvature flow with flat sides6
Local and global estimates for hyperbolic equations in Besov–Lipschitz and Triebel–Lizorkin spaces6
Global well-posedness for the defocussing mass-critical stochastic nonlinear Schrödinger equation on ℝ at L2 regularity6
Banach space actions and L2-spectral gap6
Optimal regularity in time and space for the porous medium equation6
On the singular set in the thin obstacle problem: higher-order blow-ups and the very thin obstacle problem6
Estimates for the Navier–Stokes equations in the half-space for nonlocalized data6
Threshold dynamics for corotational wave maps5
On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows5
Sign-changing solutions for critical equations with Hardy potential5
Waves interacting with a partially immersed obstacle in the Boussinesq regime5
The stable trapping phenomenon for black strings and black rings and its obstructions on the decay of linear waves5
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains5
De Branges canonical systems with finite logarithmic integral5
A∞-weights and compactness of conformal metrics under Ln∕2 curvature bounds5
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain5
Spectral stability of inviscid columnar vortices5
Wave equations with initial data on compact Cauchy horizons5
Convex sets evolving by volume-preserving fractional mean curvature flows5
Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori5
Federer’s characterization of sets of finite perimeter in metric spaces5
Classical and microlocal analysis of the x-ray transform on Anosov manifolds5
When does a perturbed Moser–Trudinger inequality admit an extremal ?4
Unconditional existence of conformally hyperbolic Yamabe flows4
Distinguished varieties through the Berger-Coburn-Lebow theorem4
On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications4
Noncommutative Furstenberg boundary4
The Peskin problem with viscosity contrast4
Scattering for defocusing energy subcritical nonlinear wave equations4
Fourier decay of self-similar measures and self-similar sets of uniqueness4
Geometric quantization of coupled Kähler–Einstein metrics4
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation4
On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation4
Nonsingular Bernoulli actions of arbitrary Krieger type4
Singularities generated by the triple interaction of semilinear conormal waves4
Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations4
Evanescent ergosurface instability4
Weak solutions to the quaternionic Monge–Ampère equation4
Near-critical reflection of internal waves4
0.030388832092285