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

Aloisio F. Neves
2000 Abstract and Applied Analysis  
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.
doi:10.1155/s1085337500000348 fatcat:5p7lr3p6c5dqlpcbx45jw37q7q