A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. (Q1413595)
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: A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. |
scientific article; zbMATH DE number 2004922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. |
scientific article; zbMATH DE number 2004922 |
Statements
A remark on a critical exponent for the semilinear dissipative wave equation in the one dimensional half space. (English)
0 references
17 November 2003
0 references
The author proves the existence and uniqueness of a solution to the half space mixed problem for the equation \(u_{tt}-u_{xx}+u_{t}=| u| ^{p}\) for small initial data. A new lower bound of the power \(p\) of the nonlinear term and better decay estimates of the solution are obtained.
0 references
small initial data
0 references
mixed problem
0 references
decay estimate
0 references
0.95659584
0 references
0.94998765
0 references
0.94152224
0 references
0.92116666
0 references
0.91817147
0 references
0.9169639
0 references
0.9118893
0 references
0.91143084
0 references
0.91069895
0 references
