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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2020-01-01
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Series: | Forum of Mathematics, Pi |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050508620000104/type/journal_article |