Directional derivative problem for the telegraph equation with a Dirac potential

DOI10.1134/S0012266118090033zbMath1409.35131OpenAlexW2897878363WikidataQ115250663 ScholiaQ115250663MaRDI QIDQ1711279

N. I. Yurchuk, S. N. Baranovskaya, Evgenij N. Novikov

Publication date: 17 January 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118090033

zbMATH Keywords

Dirac potential concentrated at a pointformulas for the classical solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (1)

Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential

Cites Work

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• Cauchy problem and the second mixed problem for parabolic equations with the Dirac potential
• Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
• Classical and generalized solutions of problems for the telegraph equation with a Dirac potential
• Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions
• A nonlinear loaded parabolic equation and a related inverse problem
• On a boundary value problem for a spectrally loaded heat operator. I
• On a boundary value problem for a spectrally loaded heat operator. II
• Loaded equations with periodic boundary conditions

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