Resolvent estimates for Douglis-Nirenberg systems

Michael Dreher

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Abstract

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.

Original languageEnglish
Pages (from-to)829-844
Number of pages16
JournalJournal of Evolution Equations
Volume9
Issue number4
DOIs
Publication statusPublished - 1 Nov 2009

Keywords

  • Elliptic boundary value problems
  • Mixed order systems
  • Analytic semigroup
  • Semi-conductor model
  • PARTIAL DIFFERENTIAL EQUATIONS
  • QUANTUM HYDRODYNAMIC MODEL
  • BOUNDARY-CONDITIONS
  • EXPONENTIAL DECAY

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