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arXiv:1706.00811 [math.AP]AbstractReferencesReviewsResources

Differential operators in exterior domain and application

Veli Shakhmurov

Published 2017-05-22Version 1

The abstract elliptic and parabolic equations on exterior domain are considered. The equations have top-order variable coefficients. The separability properties of boundary value problems for elliptic equation and well-posedness of the Cauchy problem for parabolic equations are established. In application, the well-posedness of Wentzell-Robin type mixed probem for parabolic equation, Cauchy problem for anisotropic parabolic equations and system of parabolic equations are derived

Categories: math.AP, math.FA
Subjects: 47Fxx, 47Hxx, 35Pxx
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