CARLEMAN ESTIMATES AND UNIQUE CONTINUATION PROPERTY FOR ELLIPTIC OPERATORS IN BANACH SPACES
Abstract
The unique continuation theorems for elliptic differential-operator equations in Banach-valued L-p-space are investigated. The operator-valued multiplier theorems and the Carleman estimates for the equations are employed to obtain these results. In applications the unique continuation theorems for anisotropic elliptic differential equations and finite or infinite systems of elliptic equations are studied.
Description
Keywords
Carleman estimates, unique continuation, Banach-valued function spaces, differential operator equations, operator-valued Fourier multipliers, interpolation of Banach spaces
WoS Q
Q2
Scopus Q
Q3
Source
Volume
16
Issue
3
Start Page
873
End Page
885