Remarks on quasilinear evolutions equations

James E. Munoz Rivera

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-6

Abstract:

In this paper we study the existence result of classical solutions for the quasilinear equation u t t − Δ u − M ( ∫ Ω | ∇ u | 2 d x ) Δ u t t = f , with initial data u ( 0 ) = u 0 , u ( 1 ) = u 1 and homogeneous boundary conditions.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:867371

DOI: 10.1155/S0161171291000984

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