| Autor: |
Cardanobile, Stefano, Mugnolo, Delio |
| Rok vydání: |
2008 |
| Předmět: |
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| Zdroj: |
J. Diff. Equ. 247 (2009), 1229-1248 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jde.2009.04.013 |
| Popis: |
We consider elliptic operators with operator-valued coefficients and discuss the associated parabolic problems. The unknowns are functions with values in a Hilbert space $W$. The system is equipped with a general class of coupled boundary conditions of the form $f_{|\partial\Omega}\in \mathcal Y$ and $\frac{\partial f}{\partial \nu}\in {\mathcal Y}^\perp$, where $\mathcal Y$ is a closed subspace of $L^2(\partial\Omega;W)$. We discuss well-posedness and further qualitative properties, systematically reducing features of the parabolic system to operator-theoretical properties of the orthogonal projection onto $\mathcal Y$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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