Parabolic systems with coupled boundary conditions

Details Parabolic systems with coupled boundary conditions Parabolic systems with coupled boundary conditions

2008-12-19

arxiv.org/abs/0812.3813v2

J. Diff. Equ. 247 (2009), 1229-1248

Mathematics

Analysis of PDEs

Scientific paper

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 $\mathcal Y$.

Affiliated with

Also associated with

No associations

Rating

Parabolic systems with coupled boundary conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Parabolic systems with coupled boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parabolic systems with coupled boundary conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727135