Integral representations for solutions of some types of the Beltrami equations (Q1646387)
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: Integral representations for solutions of some types of the Beltrami equations |
scientific article; zbMATH DE number 6893905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral representations for solutions of some types of the Beltrami equations |
scientific article; zbMATH DE number 6893905 |
Statements
Integral representations for solutions of some types of the Beltrami equations (English)
0 references
25 June 2018
0 references
The authors consider the Beltrami equation of type \[ \bar\partial{\phi} = \beta\frac{\,f\overline{f'}}{\,\overline f f'}\partial{\phi}. \] They obtain an integral representation for its solutions, which is a generalization of the Cauchy integral. Then they use this to prove certain analogues of some classical results of complex analysis for the solutions of the Beltrami equation.
0 references
Beltrami equation
0 references
integral representations
0 references
