Solvability of Nonlinear Goursat Type Problem for Hyperbolic Equation with Integral Condition

DOI10.22034/KJM.2018.65161zbMath1424.35255OpenAlexW2885782540MaRDI QIDQ4627998

Abdelfatah Bouziani, Taki-Eddine Oussaeif

Publication date: 5 March 2019

Full work available at URL: http://www.kjm-math.org/article_65161_8fed2a0e71a8af7d76b734e82401f3b2.pdf

zbMATH Keywords

a priori estimateenergy inequalityintegral conditionGoursat equationnonlinear hyperbolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition ⋮ Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems ⋮ Solvability and Blow-up of Solutions of Semi Linear Parabolic Problem with Integral Condition of Second Type ⋮ Solvability of nonlinear fractional integro-differential equation with nonlocal condition ⋮ Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition

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