Global existence and uniqueness of a classical solution to some differential evolutionary system

DOI10.1216/RMJ-2017-47-7-2351zbMath1382.35009MaRDI QIDQ680345

Lucjan Sapa

Publication date: 23 January 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1514084431

zbMATH Keywords

telegraph equationsystem of nonlinear differential equationsweak differential inequalitiesPDE-ODE systemPicard iteration methodhyperbolic wave equationmethod of lower and upper solution

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71) Classical solutions to PDEs (35A09) Topological and monotonicity methods applied to PDEs (35A16)

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