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Korn's inequality and Donati's theorem for the conformal Killing operator on pseudo-Euclidean space
Authors:Wei Wang
Affiliation:Department of Mathematics, Zhejiang University, Zhejiang 310027, PR China
Abstract:We prove the Korn's inequality for the conformal Killing operator on pseudo-Euclidean space Rp,q, and an existence theorem for solutions to the non-homogeneous conformal Killing equation, which is a pseudo-Euclidean conformal generalization of Donati's theorem for Euclidean Killing operator.
Keywords:Conformal Killing operator on pseudo-Euclidean space   Korn's inequality   Elliptic system   Regular elliptic boundary value problem
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