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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 731-736
doi:10.1155/S0161171291000984

Remarks on quasilinear evolutions equations

James E. Munoz Rivera

National Laboratory of Scientific Computation, Rua Lauro Muller 455, (\LN CC-CNPq) Botafogo, CEP. 22290, Rio de Janeiro, R.J., Brazil

Abstract

In this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions.