Free Boundary Problems : Regularity Properties Near the Fixed Boundary
2018 ed.
Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
331997078X
ISBN-13
9783319970783
Edition
2018 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 21st, 2018
Print length
146 Pages
Weight
266 grams
Dimensions
15.60 x 23.40 x 1.60 cms
Product Classification:
Calculus & mathematical analysisOptimization
Ksh 6,300.00
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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.
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