Resolvent estimates for Douglis-Nirenberg systems

Michael Dreher

doi:10.1007/s00028-009-0036-4

Resolvent estimates for Douglis-Nirenberg systems

Michael Dreher^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	829-844
Number of pages	16
Journal	Journal of Evolution Equations
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s00028-009-0036-4
Publication status	Published - 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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10.1007/s00028-009-0036-4

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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.",

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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AB - 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.

KW - Elliptic boundary value problems

KW - Mixed order systems

KW - Analytic semigroup

KW - Semi-conductor model

KW - PARTIAL DIFFERENTIAL EQUATIONS

KW - QUANTUM HYDRODYNAMIC MODEL

KW - BOUNDARY-CONDITIONS

KW - EXPONENTIAL DECAY

U2 - 10.1007/s00028-009-0036-4

DO - 10.1007/s00028-009-0036-4

M3 - Article

SN - 1424-3199

VL - 9

SP - 829

EP - 844

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 4

ER -

Resolvent estimates for Douglis-Nirenberg systems

Abstract

Keywords

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