Global existence for semilinear parabolic problems (Q2733858)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Global existence for semilinear parabolic problems |
scientific article; zbMATH DE number 1633111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence for semilinear parabolic problems |
scientific article; zbMATH DE number 1633111 |
Statements
12 August 2001
0 references
weakly coupled systems
0 references
nonlinear boundary conditions
0 references
nonlocal nolinearities
0 references
Global existence for semilinear parabolic problems (English)
0 references
This paper deals with sufficient conditions for global existence of solutions of semilinear parabolic problems in a smoothly bounded domain \(\Omega \subset\mathbb{R}^n\). The author shows that these conditions provide the boundedness of solutions in \(L_p\)-spaces. He illustrates validity of these conditions on some weakly coupled systems, problems involving measures, nonlinear boundary conditions and nonlocal nonlinearities.
0 references