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Free Boundary Problems: Regularity Properties Near the Fixed Boundary: 2218 (Lecture Notes in Mathematics) - Softcover
Inhaltsangabe
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.<DIV><BR></DIV><DIV>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.</DIV><BR><DIV>THE INTENDED AUDIENCE INCLUDES RESEARCH MATHEMATICIANS AND ADVANCED GRADUATE STUDENTS INTERESTED IN PROBLEMS WITH FREE BOUNDARIES.</DIV>
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Reseña del editor
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.
Biografía del autor
Darya Apushkinskaya received her PhD degree from St. Petersburg State University and her Habilitation from Saarland University. Her research includes problems in non-smooth domains for equations with singular coefficients, variational problems with non-standard growth conditions, error analysis for solutions of variational and nonvariational problems and, of course, free boundary problems and their applications to biology and solid state physics.
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- VerlagSpringer
- Erscheinungsdatum2018
- ISBN 10 331997078X
- ISBN 13 9783319970783
- EinbandTapa blanda
- Auflage1
- Anzahl der Seiten164
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Free Boundary Problems : Regularity Properties Near the Fixed Boundary
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Free Boundary Problems: Regularity Properties Near the Fixed Boundary (Lecture Notes in Mathematics) by Apushkinskaya, Darya [Paperback ]
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Free Boundary Problems
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Springer International Publishing Sep 2018, 2018
ISBN 10: 331997078X
ISBN 13: 9783319970783
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 164 pp. Englisch. Bestandsnummer des Verkäufers 9783319970783
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Free Boundary Problems : Regularity Properties Near the Fixed Boundary
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Free Boundary Problems: Regularity Properties Near the Fixed Boundary (Lecture Notes in Mathematics, 2218)
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Free Boundary Problems : Regularity Properties Near the Fixed Boundary
ISBN 10: 331997078X
ISBN 13: 9783319970783
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783319970783
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