Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$

DOI10.1090/S0002-9939-01-06103-2zbMath0983.35089OpenAlexW3043595736MaRDI QIDQ2759030

Jeffrey Rauch, Rémi Carles

Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06103-2

zbMATH Keywords

semilinear wave equationradial solutionsapproximate solutionsnonlinear first-order terms

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)

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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• Caustics of nonlinear waves
• Nonlinear geometric optics for short pulses
• Comportements Précisés Près D'Une Caustique En Optique Géométrique Non Linéaire
• Diffractive Nonlinear Geometric Optics for Short Pulses
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• Focusing at a Point and Absorption of Nonlinear Oscillations
• Caustics for dissipative semilinear oscillations

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