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

Apushkinskaya, Darya

Softcover

ISBN 10: 331997078X ISBN 13: 9783319970783

Publisher: Springer, 2018

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 this title

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.

About this edition

• Publisher: Springer
• Publication date: 2018
• ISBN 10: 331997078X
• ISBN 13: 9783319970783
• Binding: Paperback
• Edition number: 1
• Number of pages: 163