Well-posedness of the Poincaré problem for a multidimensional hyperbolic equation with the Chaplygin operator (Q550587)
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: Well-posedness of the Poincaré problem for a multidimensional hyperbolic equation with the Chaplygin operator |
scientific article; zbMATH DE number 5919511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness of the Poincaré problem for a multidimensional hyperbolic equation with the Chaplygin operator |
scientific article; zbMATH DE number 5919511 |
Statements
Well-posedness of the Poincaré problem for a multidimensional hyperbolic equation with the Chaplygin operator (English)
0 references
12 July 2011
0 references
The author proves the unique solvability of the Poincaré problem for a degenerate multidimensional hyperbolic equation with the Chaplygin operator in the domain with a deviation from the characteristic. In the theory of partial differential equations of hyperbolic type, boundary value problems with data on the whole boundary of the domain serve as examples of problems that are not well-posed.
0 references
degenerate multidimensional hyperbolic equation
0 references
data on whole boundary
0 references
