Global existence of smooth solution to relativistic membrane equation with large data

DOI10.1007/s00526-021-02174-4zbMath1484.35290arXiv1708.03839OpenAlexW4226125246WikidataQ114018001 ScholiaQ114018001MaRDI QIDQ2113305

Yanyan Li

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03839

zbMATH Keywords

nonlinear expanding effect at infinityshort pulse initial data

Mathematics Subject Classification ID

Membranes (74K15) PDEs in connection with relativity and gravitational theory (35Q75) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (4)

A large data theory for nonlinear wave on the Schwarzschild background ⋮ 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 ⋮ Stability of traveling wave for the relativistic string equation in de Sitter spacetime

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