An ill-posed nonlocal two-point problem for systems of partial differential equations
| Autor: | B. I. Ptashnyk, V. S. Il’kiv |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Sobolev space
General Mathematics Mathematical analysis Mathematics::Analysis of PDEs First-order partial differential equation Hyperbolic partial differential equation Elliptic boundary value problem Domain (mathematical analysis) Mathematics Trace operator Sobolev inequality Numerical partial differential equations |
| Zdroj: | Siberian Mathematical Journal. 46:94-102 |
| ISSN: | 1573-9260 0037-4466 |
| DOI: | 10.1007/s11202-005-0010-5 |
| Popis: | We study conditions for existence and uniqueness of a pseudosolution in a Sobolev space to a nonlocal two-point boundary-value problem for an indefinite type nonhomogeneous system of partial differential equations with continuous coefficients. We construct a solution to the problem using a minimization method in Sobolev spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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