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Free Boundary Problems: Regularity Properties Near the Fixed Boundary de Darya Apushkinskaya

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

Autor Darya Apushkinskaya
en Limba Engleză Paperback – 21 sep 2018
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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Specificații

ISBN-13: 9783319970783
ISBN-10: 331997078X
Pagini: 167
Ilustrații: XVII, 146 p. 10 illus. in color.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.45 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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

Notă biografică

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.

Textul de pe ultima copertă

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.

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Caracteristici

Presents obstacle-type problems in the parabolic case, not just the elliptic case Focuses on the cases where the free and fixed boundaries meet Several appendices provide the reader with a detailed exposition of the deep techniques of the theory