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

Apushkinskaya, Darya

ISBN 10: 331997078X ISBN 13: 9783319970783

Published by Springer, 2018

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

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

Publisher

Springer

Publication Date

2018

Language

English

ISBN 10

331997078X

ISBN 13

9783319970783

Binding

Soft cover

Condition

New

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About this title

Synopsis

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.

About the Author

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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