Mathematics – Classical Analysis and ODEs
Scientific paper
2003-08-14
Mathematics
Classical Analysis and ODEs
9 pages, first report
Scientific paper
We are concerned with the almost automorphic solutions to the second-order elliptic differential equations of type $\ddot u(s) + 2 B \dot u(s) + A u(s) = f(s) (\ast),$ where $A, B$ are densely defined closed linear operators acting in a Hilbert space ${\mathbb H}$ and $f: {\mathbb R} \mapsto {\mathbb H}$ is a vector-valued almost automorphic function. Using invariant subspaces, it will be shown that under appropriate assumptions; every solution to $(\ast)$ is almost automorphic.
No associations
LandOfFree
Some Remarks on Some Second-Order Elliptic Differential Equations 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 Some Remarks on Some Second-Order Elliptic Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Remarks on Some Second-Order Elliptic Differential Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-82609