Geodesic
The Cauchy--Goursat Problem for Wave Equations with Nonlinear Dissipative Term
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 889-907

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The Cauchy–Goursat problem for wave equations with nonlinear dissipative term is studied. The existence, uniqueness, and blow-up of global solutions of this problem are considered. The local solvability of this problem is also discussed.
Keywords: wave equation, Volterra-type integral equation, Green's formula, dissipative term, blow-up of a solution.
Mots-clés : Cauchy–Goursat problem 
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     author = {S. S. Kharibegashvili and O. M. Dzhokhadze},
     title = {The {Cauchy--Goursat} {Problem} for {Wave} {Equations} with {Nonlinear} {Dissipative} {Term}},
     journal = {Matemati\v{c}eskie zametki},
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S. S. Kharibegashvili; O. M. Dzhokhadze. The Cauchy--Goursat Problem for Wave Equations with Nonlinear Dissipative Term. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 889-907. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a8/