GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION

DOI10.1017/fmp.2020.10zbMath1447.35220arXiv1903.03553OpenAlexW3098775284MaRDI QIDQ5118433

Leonardo Abbrescia, Willie Wai Yeung Wong

Publication date: 8 September 2020

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03553

zbMATH Keywords

small compactly supported perturbation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Traveling wave solutions (35C07) Second-order quasilinear hyperbolic equations (35L72)

Related Items (7)

Global stability of some totally geodesic wave maps ⋮ Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations ⋮ On the critical exponent \(p_c\) of the 3D quasilinear wave equation \(-(1 + ( \partial_t \phi )^p) \partial_t^2 \phi + \Delta \phi = 0\) with short pulse initial data. I: Global existence ⋮ A globally smooth solution to the relativistic string equation ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions ⋮ Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model ⋮ Global versions of the Gagliardo-Nirenberg-Sobolev inequality and applications to wave and Klein-Gordon equations

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