A homotopy method for solving an equation of the type \(-\Delta u=F(u)\) (Q1060828)
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: A homotopy method for solving an equation of the type \(-\Delta u=F(u)\) |
scientific article; zbMATH DE number 3909691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A homotopy method for solving an equation of the type \(-\Delta u=F(u)\) |
scientific article; zbMATH DE number 3909691 |
Statements
A homotopy method for solving an equation of the type \(-\Delta u=F(u)\) (English)
0 references
1984
0 references
In this paper a homotopy continuation method is presented to solve the Dirichlet problem on some bounded regular domain in \(R^ n\) for the Poisson equation. The authors also define a pseudo-inverse and a pseudodeterminant with sufficient regularity properties for operators of Laplacian type.
0 references
Laplace equation
0 references
homotopy continuation method
0 references
Poisson equation
0 references
pseudo- inverse
0 references
pseudodeterminant
0 references
