On the behavior of the localized solution of the wave equation in a neighborhood of the localization point for small times

DOI10.1134/S0001434612010154zbMath1284.35252MaRDI QIDQ2435922

D. A. Lozhnikov, S. A. Sergeev

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformHamiltonian systemLagrangian manifoldlong wave

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations

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