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Mathematische Zeitschrift
Article
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Mathematische Zeitschrift
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License: CC BY NC ND
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Mathematische Zeitschrift
Article . 1996 . Peer-reviewed
License: Springer TDM
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Article . 1996
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Mathematische Zeitschrift
Article . 1996 . Peer-reviewed
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Boundary value problems for elliptic integro-differential operators

Authors: Taira, Kazuaki;

Boundary value problems for elliptic integro-differential operators

Abstract

This paper is a continuation of the previous work ``Boundary value problems and Markov processes'', Springer Lect. Notes Math. 1499 (1991; Zbl 0766.60097) where we studied a class of degenerate boundary value problems for second-order elliptic differential operators and proved that this class of boundary value problems generates analytic semigroups both in the \(L^p\) topology and in the topology of uniform convergence. The purpose of this paper is to extend these results to the elliptic integro-differential operator case.

Country
Germany
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Keywords

510.mathematics, One-parameter semigroups and linear evolution equations, elliptic integro-differential operator, analytic semigroups, \(L^ p\) topology, Integro-differential operators, topology of uniform convergence, Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Average
Top 10%
Average
Green
hybrid