Mean value properties of solutions to parabolic equations with variable coefficients (Q1092326)
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: Mean value properties of solutions to parabolic equations with variable coefficients |
scientific article; zbMATH DE number 4019587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean value properties of solutions to parabolic equations with variable coefficients |
scientific article; zbMATH DE number 4019587 |
Statements
Mean value properties of solutions to parabolic equations with variable coefficients (English)
0 references
1987
0 references
The main purpose of this note is to prove a result about the mean value properties of solutions of the equation \(Lu=0\), where \(L=div(A(x,t)\text{grad})-D_ t\) is uniformly parabolic operator in \(R^ n\times R_+\). The proof is based on a representation formula for solutions of the equation \(Lu=0\) involving integration on the level sets of the fundamental solution.
0 references
mean value properties
0 references
representation formula
0 references
integration on the level sets
0 references
fundamental solution
0 references
0 references
0 references
