175 citations
- Centre National de la Recherche ScientifiqueFR7 papers
- Institut Élie Cartan de LorraineFR4 papers
- Université de LorraineFR4 papers
- Center for Mathematical ModelingCL2 papers
- Institut de Planétologie et d'Astrophysique de GrenobleFR2 papers
- Northwestern UniversityUS2 papers
- Université Paris-SudFR2 papers
- University of ChileCL2 papers
- Analyse, Géométrie et ModélisationFR1 paper
- Australian National UniversityAU1 paper
- Centre de Haute EnergieFR1 paper
- Chinese University of Hong KongHK1 paper
6 papers · 1 filter
Large-Time Behavior of Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Gui-Qiang Chen, Benoit Perthame
We are interested in the large-time behavior of periodic entropy solutions in to anisotropic degenerate parabolic-hyperbolic equations of second-order. Unlike the pure h…
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Manuel del Pino, Michał Kowalczyk, Frank Pacard +1
We construct a new class of positive solutions for a classical semilinear elliptic problem in the plane which arise for instance as the standing-wave problem for the standard nonli…
Invariant measure for a three dimensional nonlinear wave equation
N. Burq, N. Tzvetkov
We study the long time behavior of the subcritical (subcubic) defocussing nonlinear wave equation on the three dimensional ball, for random data of low regularity. We prove that fo…
Boundary singularities for weak solutions of semilinear elliptic problems
Manuel del Pino, Monica Musso, Frank Pacard
We construct positive weak solutions of a class of semilinear elliptic equation which vanish in suitable trace sense on the boundary of a given smooth bounded N-dimensional domain,…
On well-posedness for the Benjamin-Ono equation
N. Burq, F. Planchon
We prove existence of solutions for the Benjamin-Ono equation with data in , . Thanks to conservation laws, this yields global solutions for data, w…
Spreading of quasimodes in the Bunimovich stadium
Nicolas Burq, Andrew Hassell, Jared Wunsch
We consider Dirichlet eigenfunctions of the Bunimovich stadium , satisfying . Write where is the central rectangle and denotes the…