A multipoint problem for a parabolic equation with variable coefficients in a cylindrical domain
| Autor: | I. R. Tymkiv, B. Yo. Ptashnyk |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Statistics and Probability
Applied Mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Type (model theory) Domain (mathematical analysis) Dirichlet distribution symbols.namesake Parabolic cylindrical coordinates Bounded function Metric (mathematics) symbols Uniqueness Mathematics Variable (mathematics) |
| Zdroj: | Journal of Mathematical Sciences. 183:1-16 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-012-0793-4 |
| Popis: | We study the correctness of a problem with multipoint conditions with respect to the time variable and conditions of the Dirichlet type with respect to spatial coordinates for a class of equations parabolic by Petrovskii with coefficients variable in spatial coordinates in a bounded cylindrical domain. The conditions for existence and uniqueness of solution of the problem are determined. A metric theorem of lower bounds for small denominators arising in the construction of the solution is proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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