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
IMECC/UNICAMP, CP 6065, Campinas 13081-970, SP, Brazil
Received 10 October 2000
Copyright © 2000 Aloisio F. Neves. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.