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

DOI10.2748/tmj/1113246675zbMath1095.35010arXivmath/0212288OpenAlexW2002927235MaRDI QIDQ1769456

Jeffrey Rauch, Rémi Carles

Publication date: 21 March 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212288

zbMATH Keywords

semilinear wave equationradial solutionsapproximate solutionsnonlinear first-order terms

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 (1)

Global regularity for supercritical nonlinear dissipative wave equations in 3D

Cites Work

• Caustics of nonlinear waves
• Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic
• Absorption d'impulsions non linéaires radiales focalisantes dans
• Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$
• Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation
• Focusing at a Point and Absorption of Nonlinear Oscillations
• Caustics for dissipative semilinear oscillations

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