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＜E-Book＞
Free Boundary Problems : Regularity Properties Near the Fixed Boundary / by Darya Apushkinskaya
(Lecture Notes in Mathematics. ISSN:16179692 ; 2218)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2018
Size	XVII, 146 p. 10 illus. in color : online resource
Authors	*Apushkinskaya, Darya author SpringerLink (Online service)
Subjects	LCSH:Mathematical analysis LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Calculus of Variations and Optimization
Notes	This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries HTTP:URL=https://doi.org/10.1007/978-3-319-97079-0

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