On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions

DOI10.1016/S0362-546X(97)87360-9zbMath0892.35104OpenAlexW2039431161MaRDI QIDQ4365304

Tran Ngoc Diem, Nguyen Thanh Long

Publication date: 4 November 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)87360-9

zbMATH Keywords

existenceuniqueness

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

• Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations
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• On the quasilinear wave equation: utt − Δu + f(u, ut) = 0 associated with a mixed nonhomogeneous condition
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