On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems
DOI10.1007/s10986-022-09566-9zbMath1497.35317OpenAlexW4229077218WikidataQ115603599 ScholiaQ115603599MaRDI QIDQ2674415
Sergo Kharibegashvili, Bidzina Midodashvili
Publication date: 12 September 2022
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-022-09566-9
existencenonexistenceuniquenessa priori estimatesemilinear hyperbolic systemsmethod of test functionsSchaefer's fixed point theorem
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order semilinear hyperbolic equations (35L76) Initial-boundary value problems for higher-order hyperbolic systems (35L57)
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Cites Work
- Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
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