Solvability of an inverse problem for the parabolic equation with convergence (Q1204716)
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: Solvability of an inverse problem for the parabolic equation with convergence |
scientific article; zbMATH DE number 130803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of an inverse problem for the parabolic equation with convergence |
scientific article; zbMATH DE number 130803 |
Statements
Solvability of an inverse problem for the parabolic equation with convergence (English)
0 references
18 March 1993
0 references
The evolution equation \(u_ t=L(x)u+q(x)u+f(x,t)\), \(L\) a second order elliptic operator, is considered on \(\Omega \times(-\infty,+\infty)\), \(\Omega \subset \mathbb{R}^ n\), with a Dirichlet boundary condition on \(\partial \Omega \times(-\infty,+\infty)\). If \(u(x,0)=u_ 0(x)\) is given the author provides criteria concerning the unique solvability of the coefficient determination problem for \(q(x)\).
0 references
inverse problem
0 references
evolution equation
0 references
Dirichlet boundary condition
0 references
unique solvability
0 references
coefficient determination problem
0 references
