A CHARACTERIZATION OF SOBOLEV SPACES BY SOLUTIONS OF HEAT EQUATION AND A STABILITY PROBLEM FOR A FUNCTIONAL EQUATION
| Autor: | Yun-Sung Chung, Deok-Yong Kwon, Soon-Yeong Chung, Young-Su Lee |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Sobolev space
Partial differential equation Elliptic partial differential equation Integro-differential equation Applied Mathematics General Mathematics Functional equation Mathematical analysis Mathematics::Analysis of PDEs Initial value problem Summation equation Hyperbolic partial differential equation Mathematics |
| Zdroj: | Communications of the Korean Mathematical Society. 23:401-411 |
| ISSN: | 1225-1763 |
| Popis: | In this paper, we characterize Sobolev spaces Hs(Rn), s ∈ R by the initial value of solutions of heat equation with a growth condition. By using an idea in its proof, we also discuss a stability problem for Cauchy functional equation in the Sobolev spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|