$$L^p$$ -dissipativity for Systems of Partial Differential Operators

Alberto Cialdea,Vladimir Maz’Ya

doi:10.1007/978-3-319-04558-0_4

$$L^p$$ -dissipativity for Systems of Partial Differential Operators

Alberto Cialdea, Vladimir Maz’Ya

https://doi.org/10.1007/978-3-319-04558-0_4

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Publication Date: Jan 1, 2014

Affiliation: University of Basilicata, Linköping University

#Systems Of Partial Differential Operators #Auxiliary Results + Show 8 more

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Abstract

AbstractThis chapter is devoted to systems of partial differential operators. After some auxiliary results in Section 4.1, we give an algebraic necessary condition for the $L^p$-dissipativity of a general system in the two-dimensional case (Section 4.2). Several results are stated in terms of eigenvalues of the coefficient matrix of the system.KeywordsLarge EigenvalueParabolic SystemPrincipal PartScalar CasePartial Differential OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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