Boundary value problems for elliptic mixed order systems with parameter
Robert Denk, Leonid R. Volevič · KOPS (University of Konstanz) · 2002
This paper gives a survey on the concept of parameter-ellipticity and parabolicity for mixed order systems depending on a complex parameter. We consider both systems of operators acting on closed manifolds and on manifolds with boundary. The main results include unique solvability of the corresponding equations or boundary value problems and uniform estimates on the solutions in terms of parameter-dependent norms.