We study mixed order parameter-elliptic boundary value problems with boundary conditions of a certain structure. For such operators, we prove resolvent estimates in L (p) based Sobolev spaces of suitable order and the analyticity of the semigroup. Finally, we present an application of this theory to studies of the particle transport in a semi-conductor.
- Elliptic boundary value problems
- Mixed order systems
- Analytic semigroup
- Semi-conductor model
- PARTIAL DIFFERENTIAL EQUATIONS
- QUANTUM HYDRODYNAMIC MODEL
- EXPONENTIAL DECAY