02627nam 22005295 450 99646652810331620200706012343.03-319-97079-810.1007/978-3-319-97079-0(CKB)4100000006674786(DE-He213)978-3-319-97079-0(MiAaPQ)EBC6296857(PPN)230538177(EXLCZ)99410000000667478620180920d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFree Boundary Problems[electronic resource] Regularity Properties Near the Fixed Boundary /by Darya Apushkinskaya1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XVII, 146 p. 10 illus. in color.) Lecture Notes in Mathematics,0075-8434 ;22183-319-97078-X 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.Lecture Notes in Mathematics,0075-8434 ;2218Mathematical analysisAnalysis (Mathematics)Calculus of variationsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Mathematical analysis.Analysis (Mathematics).Calculus of variations.Analysis.Calculus of Variations and Optimal Control; Optimization.515.35Apushkinskaya Daryaauthttp://id.loc.gov/vocabulary/relators/aut785927MiAaPQMiAaPQMiAaPQBOOK996466528103316Free boundary problems1749858UNISA