Free Boundary Problems: Regularity Properties Near the Fixed Boundary (Lecture Notes in Mathematics, Band 2218) - Softcover

Apushkinskaya, Darya

 
9783319970783: Free Boundary Problems: Regularity Properties Near the Fixed Boundary (Lecture Notes in Mathematics, Band 2218)
Softcover
ISBN 10: 331997078X ISBN 13: 9783319970783
Verlag: Springer, 2018

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.


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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Über die Autorin bzw. den 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.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
331997078X
ISBN 13 
9783319970783
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
164
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Nicht verfügbar
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