Theory of boundary-value problems for third-order equations of mixed- composite type (Q1059222)
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: Theory of boundary-value problems for third-order equations of mixed- composite type |
scientific article; zbMATH DE number 3903180
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of boundary-value problems for third-order equations of mixed- composite type |
scientific article; zbMATH DE number 3903180 |
Statements
Theory of boundary-value problems for third-order equations of mixed- composite type (English)
0 references
1983
0 references
The author presents existence and uniqueness results on solutions of a certain homogeneous boundary value problem for the following third order linear partial differential equation in a bounded cylindrical domain \({\mathbb{R}}^ n_ x\times {\mathbb{R}}^ 1_ t:\) \((k(x,t)u_{tt}+Au-Bu)_ t+Cu+a(x,t)u_{tt}+b(x,t)u_ t=f(x,t),\) where k,a,b and f are given functions, A, B and C are t-dependent possibly degenerate second order elliptic differential operators of x.
0 references
existence
0 references
uniqueness
0 references
homogeneous boundary value problem
0 references
third order linear partial differential equation
0 references
