Bateman-Hörmander two-dimensional waves with a singularity at a running point

DOI10.1134/S000143461911018XzbMath1435.35208OpenAlexW2998187506MaRDI QIDQ2304497

Aleksei P. Kiselev, A. S. Blagovestchenskii

Publication date: 12 March 2020

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

Full work available at URL: https://doi.org/10.1134/s000143461911018x

zbMATH Keywords

Fourier transformexact solutionsmethod of descentBateman solutions, Hörmander solutions

Mathematics Subject Classification ID

Wave equation (35L05) Solutions to PDEs in closed form (35C05) Singularity in context of PDEs (35A21)

Related Items (2)

Two-dimensional analogs of the classical Bateman wave are solutions of problems with moving sources ⋮ Two-dimensional singular splash pulses

Cites Work

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• Relatively distortion-free waves for the \(m\)-dimensional wave equation
• Exact solutions of the \(m\)-dimensional wave equation from paraxial ones. Further generalizations of the Bateman solution
• Highly localized solutions of the wave equation
• Generalizations of Bateman^|^apos;s transformation for general indefinite metrics

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