Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation (Q1406534)
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: Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation |
scientific article; zbMATH DE number 1974973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation |
scientific article; zbMATH DE number 1974973 |
Statements
Pointwise and \(L_{2}\) bounds in some nonstandard problems for the heat equation (English)
0 references
4 September 2003
0 references
Some initial-boundary value problems for the heat equation are considered; the boundary data involve the square of the gradient of the solution. Pointwise bounds and \(L_2\) bounds for the solution and its gradient are established. The arguments mostly rely on the maximum principle and the trace inequality.
0 references
nonlinear boundary conditions
0 references
maximum principle
0 references
trace inequality
0 references
0 references
