Blow-up and \(L^{p}\) norms for the cubic nonlinear wave equation

DOI10.1016/S1631-073X(02)02606-7zbMath1034.35078OpenAlexW2178932196MaRDI QIDQ1565895

Gilles Cabart, Satyanad Kichenassamy

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02606-7

zbMATH Keywords

nonlinear opticsblow-up surface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• On existence and scattering with minimal regularity for semilinear wave equations
• Fuchsian equations in Sobolev spaces and blow-up
• Blow-up Surfaces for Nonlinear Wave Equations, I
• The blow-up problem for exponential nonlinearities
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