Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Table of Contents - 01 January 1995 - Volume 125, Issue 05  

Research Article

Asymptotic behaviour and attractors for a semilinear damped wave equation with supercritical exponent

Eduard Feireisla1 p1

a1 Departamento de Matemática Aplicada, Universidad Complutense, 28040 Madrid, Spain

We prove the existence of a global attractor for the problem

S0308210500022630_eqnU1

where f is ‘coercive at infinity’ and satisfies the growth condition

S0308210500022630_eqnU2

while g ϵL2(R3).

(Received September 29 1993)

(Revised March 07 1994)

Correspondence:

p1 Permanent address: Institute of Mathematics AVCR, Zitna 25, 115 67 PRAHA1, Czech Republic.