Carleman Estimates and Unique Continuation Property for Abstract Elliptic Equations

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Date

2011

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Publisher

Amer inst Physics

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Abstract

The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L-p-space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for the equations are employed to obtain these results. In applications the unique continuation theorems for quasielliptic partial differential equations and finite or infinite systems of elliptic equations are established.

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Keywords

Carleman Estimates, Unique Continuation, Embedding Theorems, Abstract Function Spaces, Differential Operator Equations, Maximal L-p-Regularity

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0

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N/A

Scopus Q

Q4

Source

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 19-25, 2011 -- Halkidiki, GREECE

Volume

1389

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