Recent Issues

Volume 17
Issue 2, 379–756
Issue 1, 1–377

Volume 16, 10 issues

Volume 15, 8 issues

Volume 14, 8 issues

Volume 13, 8 issues

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
Other MSP Journals
In  Forthcoming  Issues
Relative heat content asymptotics for sub-Riemannian manifolds

Andrei Agrachev, Luca Rizzi, Tommaso Rossi

Variational methods for the kinetic Fokker-Planck equation

Dallas Albritton, Scott Armstrong, Jean-Christophe Mourrat, Matthew Novack

The rank-one theorem on RCD spaces

Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto

The Kato square root problem for weighted parabolic operators

Alireza Ataei, Moritz Egert, Kaj Nyström

Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature

Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri

A Poincaré-Steklov map for the MIT bag model

Badreddine Benhellal, Vincent Bruneau, Mahdi Zreik

The Dirichlet problem for the Lagrangian mean curvature equation

Arunima Bhattacharya

Global existence and modified scattering for the solutions to the Vlasov-Maxwell system with a small distribution function

Léo Bigorgne

Existence of resonances for Schrödinger operators on hyperbolic space

David Borthwick, Yiran Wang

A new approach to the mean-field limit of Vlasov-Fokker-Planck equations

Didier Bresch, Pierre-Emmanuel Jabin, Juan Soler

Families of functionals representing Sobolev norms

Haïm Brezis, Andreas Seeger, Jean Van Schaftingen, Po-Lam Yung

Quantitative stability of Gel'fand's inverse boundary problem

Dmitri Burago, Sergei Ivanov, Matti Lassas, Jinpeng Lu

Measure propagation along C^0-vector field and wave controllability on a rough compact manifold

Nicolas Burq, Belhassen Dehman, Jérôme Le Rousseau

The quermassintegral preserving mean curvature flow in the sphere

Esther Cabezas-Rivas, Julian Scheuer

Trigonometric chaos and Xp inequalities I —Balanced Fourier truncations over discrete groups—

Antonio Ismael Cano-Mármol, José M. Conde-Alonso, Javier Parcet

The Landau equation as a gradient Flow

José A. Carrillo, Matias G. Delgadino, Laurent Desvillettes, Jeremy Wu

Local lens rigidity for manifolds of Anosov type

Mihajlo Cekić, Colin Guillarmou, Thibault Lefeuvre

Structure of sets with nearly maximal Favard length

Alan Chang, Damian Dąbrowski, Tuomas Orponen, Michele Villa

On the spectrum of non degenerate magnetic Laplacians

Laurent Charles

Haagerup's phase transition at polydisc slicing

Giorgos Chasapis, Salil Singh, Tomasz Tkocz

Non-linear periodic waves on the Einstein cylinder

Athanasios Chatzikaleas, Jacques Smulevici

Dynamical torsion for contact Anosov flows

Yann Chaubet, Nguyen Viet Dang

Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials

Xing Cheng, Chang-Yu Guo, Zihua Guo, Xian Liao, Jia Shen

Extreme temporal intermittency in the linear Sobolev transport: Almost smooth nonunique solutions

Alexey Cheskidov, Xiaoyutao Luo

Rigidity for von Neumann algebras of graph product groups. I. Structure of automorphisms

Ionuţ Chifan, Michael Davis, Daniel Drimbe

Improved endpoint bounds for the lacunary spherical maximal operator

Laura Cladek, Ben Krause

Fractal uncertainty for discrete 2D Cantor sets

Alex Cohen

Uniqueness of excited states to −Δu+u−u3=0 in three dimensions

Alex Cohen, Zhenhao Li, Wilhelm Schlag

Non-negative Ricci curvature and minimal graphs with linear growth

Giulio Colombo, Eddygledson Gama, Luciano Mari, Marco Rigoli

Random Schrödinger operators with complex decaying potentials

Jean-Claude Cuenin, Konstantin Merz

The Willmore flow of tori of revolution

Anna Dall'Acqua, Marius Müller, Reiner Schätzle, Adrian Spener

Global well-posedness for 2D inhomogeneous viscous flows with rough data via dynamic interpolation

Raphaël Danchin

Hausdorff measure bounds for nodal sets of Steklov eigenfunctions

Stefano Decio

The projection constant for the trace class

Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło, Santiago Muro

A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2

Spyridon Dendrinos, Andrei Mustaţă, Marco Vitturi

Quantitative stability for the complex Monge-Ampère equations I

Hoang-Son Do, Duc-Viet Vu

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton

Benjamin Dodson

Optimal blowup stability for three-dimensional wave maps

Roland Donninger, David Wallauch

Mathematics of internal waves in a 2D aquarium

Semyon Dyatlov, Jian Wang, Maciej Zworski

Stahl--Totik regularity for continuum Schrödinger operators

Benjamin Eichinger, Milivoje Lukić

Strong ill-posedness in $L∞$ for the Riesz transform problem

Tarek M. Elgindi, Karim R. Shikh Khalil

Schwarz-Pick lemma for harmonic maps which are conformal at a point

Franc Forstnerič, David Kalaj

$C^\infty$ partial regularity of the singular set in the obstacle problem

Federico Franceschini, Wiktoria Zatoń

Blow-up of solutions of critical elliptic equations in three dimensions

Rupert L. Frank, Tobias König, Hynek Kovařík

Epsilon-regularity for the Brakke flow with boundary

Carlo Gasparetto

Optimal Prandtl expansion around a concave boundary layer

David Gérard-Varet, Yasunori Maekawa, Nader Masmoudi

Schauder estimates for equations with cone metrics, II

Bin Guo, Jian Song

Small cap decoupling for the moment curve in $\mathbb{R}^3$

Larry Guth, Dominique Maldague

Semiclassical propagation through cone points

Peter Hintz

A fast point charge interacting with the screened Vlasov-Poisson system

Richard M. Höfer, Raphael Winter

Transference of scale-invariant estimates from Lipschitz to non-tangentially accessible to uniformly rectifiable domains

Steve Hofmann, José María Martell, Svitlana Mayboroda

On the singularities of the spectral and Bergman projections on complex manifolds with boundary

Chin-Yu Hsiao, George Marinescu

Global well-posedness for a system of quasilinear wave equations on a product space

Cécile Huneau, Annalaura Stingo

On the endpoint regularity in Onsager's conjecture

Philip Isett

Beurling-Carleson sets, inner functions and a semi-linear equation

Oleg Ivrii, Artur Nicolau

An improved regularity criterion and absence of splash-like singularities for g-SQG patches

Junekey Jeon, Andrej Zlatoš

Unique continuation for the heat operator with potentials in weak spaces

Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu

Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends

Malo Jézéquel

Nonlocal operators related to nonsymmetric forms II: Harnack inequalities

Moritz Kassmann, Marvin Weidner

Strong cosmic censorship in the presence of matter: The decisive effect of horizon oscillations on the black hole interior geometry

Christoph Kehle, Maxime Van de Moortel

Small scale formation for the 2D Boussinesq equation

Alexander Kiselev, Jaemin Park, Yao Yao

Large sets containing no copies of a given infinite sequence

Mihalis N. Kolountzakis, Effie Papageorgiou

Rotating waves in nonlinear media and critical degenerate Sobolev inequalities

Joel Kübler, Tobias Weth

Noncommutative maximal operators with rough kernels

Xudong Lai

Stability and Lorentzian geometry for an inverse problem of a semi-linear wave equation

Matti Lassas, Tony Liimatainen, Leyter Potenciano-Machado, Teemu Tyni

Uniform Skoda integrability and Calabi-Yau degeneration

Yang Li

The weak null condition on Kerr backgrounds

Hans Lindblad, Mihai Tohaneanu

On full asymptotics of real analytic torsions for compact locally symmetric orbifolds

Bingxiao Liu

The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy

Jonathan Luk, Jared Speck

Linear potentials and applications in conformal geometry

Shiguang Ma, Jie Qing

Uniform stability in the Euclidean isoperimetric problem for the Allen–Cahn energy

Francesco Maggi, Daniel Restrepo

On Gagliardo-Nirenberg inequalities with vanishing symbols

Rainer Mandel

Characterization of rectifiability via Lusin type approximation

Andrea Marchese, Andrea Merlo

The Singular Strata of a Free-Boundary Problem for Harmonic Measure

Sean McCurdy

A semiclassical Birkhoff normal form for constant-rank magnetic fields

Léo Morin

A new approach to the Fourier extension problem for the paraboloid

Camil Muscalu, Itamar Oliveira

A substitute for Kazhdan's property (T) for universal non-lattices

Narutaka Ozawa

Optimal regularity & Liouville property for stable solutions to semilinear elliptic equations in \mathbb R^n with n\ge10

Fa Peng, Yi Zhang, Yuan Zhou

The 3D strict separation property for the nonlocal Cahn-Hilliard equation with singular potential

Andrea Poiatti

Observability of the Schrödinger equation with subquadratic confining potential in the Euclidean space

Antoine Prouff

Rotating spirals in segregated reaction-diffusion systems

Ariel Salort, Susanna Terracini, Gianmaria Verzini, Alessandro Zilio

Host-Kra factors for $\bigoplus_{p\in P}\mathbb{Z}/p\mathbb{Z}$ actions and finite dimensional nilpotent systems

Or Shalom

Dimensions of Furstenberg sets and an extension of Bourgain's projection theorem

Pablo Shmerkin, Hong Wang

On complete embedded translating solitons of the mean curvature flow that are of finite genus

Graham Smith

The relative trace formula in electromagnetic scattering and boundary layer operators

Alexander Strohmaier, Alden Waters

Plateau flow or the heat flow for half-harmonic maps

Michael Struwe

Projective embedding of stably degenerating sequence of hyperbolic Riemann surfaces

Jingzhou Sun

Connectivity conditions and boundary Poincaré inequalities

Olli Tapiola, Xavier Tolsa

Spectral gap for obstacle scattering in dimension 2

Lucas Vacossin

A generalization of the Beurling–Malliavin Majorant theorem

Ioann Vasilyev

Stochastic homogenization for variational solutions of Hamilton-Jacobi equations

Claude Viterbo

Degenerating hyperbolic surfaces and spectral gaps for large genus

Yunhui Wu, Haohao Zhang, Xuwen Zhu