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Abstract and Applied Analysis 
Volume 5 (2000), Issue 3, Pages 175-189
doi:10.1155/S1085337500000348

On the strongly damped wave equation and the heat equation with mixed boundary conditions

Aloisio F. Neves

IMECC/UNICAMP, CP 6065, Campinas 13081-970, SP, Brazil

Received 10 October 2000

Abstract

We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.