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

Neves, Aloisio F.

Abstr. Appl. Anal., Tome 5 (2000) no. 1, p. 175-189 / Harvested from Project Euclid

Résumé

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.

Publié le : 2000-05-14
Classification: 47H06, 35B65, 35B41

@article{1049999319,
     author = {Neves, Aloisio F.},
     title = {On the strongly damped wave equation and the heat equation with mixed boundary conditions},
     journal = {Abstr. Appl. Anal.},
     volume = {5},
     number = {1},
     year = {2000},
     pages = { 175-189},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049999319}
}

Neves, Aloisio F. On the strongly damped wave equation and the heat equation with mixed boundary conditions. Abstr. Appl. Anal., Tome 5 (2000) no. 1, pp.  175-189. http://gdmltest.u-ga.fr/item/1049999319/