Free Boundary Problems

Regularity Properties Near the Fixed Boundary

Darya Apushkinskaya (Autor)

Buch | Softcover

XVII, 146 Seiten

2018
Springer International Publishing (Verlag)
978-3-319-97078-3 (ISBN)

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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.

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.

- Introduction. - No-Sign Parabolic Obstacle-Type Problems. - Boundary Estimates for Solutions of Free Boundary Problems.

Erscheinungsdatum	22.09.2018
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XVII, 146 p. 10 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	260 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Contact Points • global solutions • Monotonicity Formulas • Parabolic Free Boundary Problems • Quadratic Growth Estimates • regularity
ISBN-10	3-319-97078-X / 331997078X
ISBN-13	978-3-319-97078-3 / 9783319970783
Zustand	Neuware