Co-dimension one stable blowup for the quadratic wave equation beyond the light cone

DOI10.1007/s00220-023-04888-2arXiv2209.07905OpenAlexW4391519295MaRDI QIDQ6189340

Roland Donninger, Birgit Schörkhuber, Po-Ning Chen, Michael Bennett McNulty, Irfan Glogić

Publication date: 8 February 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07905

zbMATH Keywords

stability of self-similar blowup solutions

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• On the stability of self-similar solutions to nonlinear wave equations
• Co-dimension one stable blowup for the supercritical cubic wave equation
• The Cauchy problem in general relativity.
• Semigroups of linear operators and applications to partial differential equations
• Stable blowup for wave equations in odd space dimensions
• Perturbation theory for linear operators.
• Self-similar solutions of focusing semi-linear wave equations in \(\mathbb{R}^N\)
• Stable blowup for the supercritical hyperbolic Yang-Mills equations
• One-Parameter Semigroups for Linear Evolution Equations
• Type II Blow up Manifolds for the Energy Supercritical Semilinear Wave Equation
• Threshold for blowup for the supercritical cubic wave equation
• Hyperboloidal Similarity Coordinates and a Globally Stable Blowup Profile for Supercritical Wave Maps
• Threshold for blowup for equivariant wave maps in higher dimensions
• A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory

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