Nonlinear wave equations and singular solutions

DOI10.1090/S0002-9939-07-08926-5zbMath1133.35071arXivmath/0601308MaRDI QIDQ5308135

Hideshi Yamane

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601308

zbMATH Keywords

polynomial nonlinearityFuchsian reductionsingular Cauchy problemnonlinear Fuchsian equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20)

Related Items (1)

Logarithmic singularities of solutions to nonlinear partial differential equations

Cites Work

• Singular and holomorphic solutions of singular nonlinear partial differential equations.
• Singular Cauchy problems for quasilinear equations of order two
• Nonlinear Cauchy problems with small analytic data
• Blow-up Surfaces for Nonlinear Wave Equations, I
• Blow-up surfaces for nonlinear wave equations, II
• The structure of WTC expansions and applications
• Singular solutions and prolongation of holomorphic solutions to nonlinear differential equations
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