GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION

We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the smallness depends on the size of the support of the p...

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Bibliographic Details
Main Authors: LEONARDO ABBRESCIA, WILLIE WAI YEUNG WONG
Format: Article
Language:English
Published: Cambridge University Press 2020-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508620000104/type/journal_article