Global Carleman Estimates for Degenerate Parabolic Operators With Applications

Ebook Details

Authors

P. Cannarsa, P. Martinez, J. Vancostenoble

Year 2016
Pages 209
Publisher Amer Mathematical Society
Language en
ISBN 9781470414962
File Size 1.24 MB
File Format PDF
Download Counter 90
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Ebook Description

Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.