Free boundary problems [e-book] : regularity properties near the fixed boundary / by Darya Apushkinskaya

• Autore: Apushkinskaya, Darya
• Pubblicazione: Cham : Springer, 2018
• Descrizione fisica: 1 online resource (xvii, 146 pages) : 10 illus. in color
• Disciplina: 515
• Soggetto topico: Global analysis (Mathematics); Mathematical optimization
• Classificazione: AMS 35R35; LC QA299.6-433
• Nota di bibliografia: Includes bibliographical references and index
• Nota di contenuto: Introduction ; No-sign parabolic obstacle-type problems ; Boundary estimates for solutions of free boundary problems
• Sommario/riassunto: 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
• ISBN: 3319970798; 9783319970790; 331997078X; 9783319970783
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003633649707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/10.1007/978-3-319-97079-0
• Serie: Lecture notes in mathematics, 0075-8434 ; 2218