Formula of Kirchhoff type for mixed problem

DOI10.3103/S1066369X21060013zbMath1469.35136OpenAlexW3182992293MaRDI QIDQ2041622

D. S. Anikonov, D. S. Konovalova

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21060013

zbMATH Keywords

wave equationDuhamel integralKirchhoff formula

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15)

Cites Work

• Unnamed Item
• Equivalence of two definitions of a generalized \(L_p\) solution to the initial-boundary value problem for the wave equation
• On some properties of generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^1_p\) for \(p \geq 1\)
• Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
• d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities
• Linear transport equations with discontinuous coefficients
• One-dimensional transport equations with discontinuous coefficients

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