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

DOI10.1134/S0012266122020045zbMath1487.35243OpenAlexW4225261981WikidataQ114075333 ScholiaQ114075333MaRDI QIDQ2135101

J. V. Rudzko, V. I. Korzyuk

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1134/s0012266122020045

zbMATH Keywords

existenceuniquenessmethod of characteristicscontinuous dependence

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential in a curvilinear quadrant ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ Classical and mild solution of the first mixed problem for the telegraph equation with a nonlinear potential ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The second Darboux problem for the wave equation with integral nonlinearity
• Classical and generalized solutions of problems for the telegraph equation with a Dirac potential
• On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Directional derivative problem for the telegraph equation with a Dirac potential
• Second Darboux problem for the wave equation with a power-law nonlinearity
• On existence and nonexistence of global solutions of Cauchy-Goursat problem for nonlinear wave equations

This page was built for publication: Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential