ON THE WEAK SOLUTIONS FOR THE CAUCHY PROBLEM OF PARABOLIC EQUATIONS WITH DISCONTINUOUS AND UNBOUNDED COEFFICIENTS (Dedicated to Professor Fan Ky on his 60th birthday)
| Autor: | LU-SAN, CHEN, JER-SAN, LIN, CHEH-CHIH, YEH |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1978 |
| Zdroj: | Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学. 26:1-6 |
| ISSN: | 0044-0523 |
| Popis: | In this note we shall prove the uniqueness and existence of the weak solutions for the Cauchy problem: ＄Lu=f＄ for ＄(x, t)￥in R^{n}￥times(0,T＄] ＄u(x, 0)=u_{0}(x)￥in L_{1oc}^{2}(R^{n})＄ for ＄xeR^{n}＄ where the coefficients of ＄L＄ are measurable real valued functions and satisfy some assumptions and ＄f＄ is a given function in ＄R￥cdot￥times(0, T＄]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|