On a class of non linear differential operators of first order with singular point (Q1780377)
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: On a class of non linear differential operators of first order with singular point |
scientific article; zbMATH DE number 2174294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of non linear differential operators of first order with singular point |
scientific article; zbMATH DE number 2174294 |
Statements
On a class of non linear differential operators of first order with singular point (English)
0 references
7 June 2005
0 references
The author considers a first order problem which can be expressed in local coordinates as \(\sum_{j=1}^n X^j(x)D_j u^i-B^i(x,u)=f^i(x)\) (\(1\leq i\leq n\)). This problem arises from Lie or covariant derivatives in differential geometry. He gives (under appropriate conditions) an integral representation of a solution of a linearized problem and obtains existence and smoothness for a nonlinear problem.
0 references
local existence
0 references
uniqueness
0 references
Lie derivative
0 references
