A proof for the mode stability of a self-similar wave map

DOI10.1088/0951-7715/29/8/2451zbMath1353.35209arXiv1411.2947OpenAlexW2963238934MaRDI QIDQ2816529

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Publication date: 23 August 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2947

zbMATH Keywords

\(\mathrm{SU}(2)\) sigma modelnonself-adjoint spectral theory

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic equations on manifolds (58J45) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (12)

Co-dimension one stable blowup for the supercritical cubic wave equation ⋮ On the stability of self-similar solutions to nonlinear wave equations ⋮ Spectral analysis for singularity formation of the two dimensional Keller-Segel system ⋮ Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps ⋮ Optimal blowup stability for supercritical wave maps ⋮ A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory ⋮ Mode stability of self-similar wave maps in higher dimensions ⋮ On blowup of co-rotational wave maps in odd space dimensions ⋮ Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities ⋮ Jacobi series for general parameters via Hadamard finite part and application to nonhomogeneous hypergeometric equations ⋮ Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in \(\mathbb{R}^{1+3}\) ⋮ Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions

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