Global existence in time and decay property of solutions of boundary value problems for semilinear hyperbolic equations of second order in the interior domain (Q5931083)
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 in time and decay property of solutions of boundary value problems for semilinear hyperbolic equations of second order in the interior domain |
scientific article; zbMATH DE number 1593163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence in time and decay property of solutions of boundary value problems for semilinear hyperbolic equations of second order in the interior domain |
scientific article; zbMATH DE number 1593163 |
Statements
Global existence in time and decay property of solutions of boundary value problems for semilinear hyperbolic equations of second order in the interior domain (English)
0 references
2 May 2001
0 references
The author considers boundary value problems for nonhomogeneous semilinear hyperbolic equations of the second order. He proves the existence of a classical solution to the problem after a finite time and its exponential decay in time, using energy estimates for local solutions to the linear singular hyperbolic equations. As a corollary, the same result for nonhomogeneous boundary conditions is given.
0 references
nonhomogeneous semilinear hyperbolic equation
0 references
exponential decay in time
0 references
nonhomogeneous boundary conditions
0 references
singular hyperbolic equation
0 references
