A discrete phenomenon in the \(C^{\infty}\) and analytic regularity of the blow-up curve of solutions to the Liouville equation in one space dimension

DOI10.1006/jdeq.2001.4123zbMath1004.35094OpenAlexW2048566908MaRDI QIDQ697867

Paul Godin

Publication date: 17 September 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4123

zbMATH Keywords

Cauchy problemmixed problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Differentiability of the blow-up curve for one dimensional nonlinear wave equations
• The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension. II
• The Blow-Up Boundary for Nonlinear Wave Equations
• Long time behaviour of solutions to some nonlinear rotation invariant mixed problems
• Blow-up Surfaces for Nonlinear Wave Equations, I
• Blow-up surfaces for nonlinear wave equations, II
• WTC Expansions and Nonintegrable Equations
• The blow-up problem for exponential nonlinearities
• The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension. I

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