Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic

DOI10.4171/RMI/408zbMath1094.35081OpenAlexW2006342895MaRDI QIDQ1772120

Jeffrey Rauch, Rémi Carles

Publication date: 15 April 2005

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39728

zbMATH Keywords

scattering operatorsemilinear wave equationshigh frequency asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Diffraction, scattering (78A45) Asymptotic expansions of solutions to PDEs (35C20) Geometric optics (78A05)

Related Items (2)

Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases ⋮ Focusing of spherical nonlinear pulses for nonlinear wave equations

Cites Work

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• Geometric optics and long range scattering for one-dimensional nonlinear Schrödinger equations
• Nonlinear geometric optics for short pulses
• Absorption d'impulsions non linéaires radiales focalisantes dans
• Diffusion d'impulsions non linéaires radiales focalisantes dans
• Comportements Précisés Près D'Une Caustique En Optique Géométrique Non Linéaire
• Geometric optics with caustic crossing for some nonlinear Schrodinger equations

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