Free Boundary Problems: Regularity Properties Near the Fixed Boundary

✍ Scribed by Darya Apushkinskaya

Publisher: Springer International Publishing
Year: 2018
Tongue: English
Leaves: 156
Series: Lecture Notes in Mathematics 2218
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Table of Contents

Front Matter ....Pages i-xvii
Introduction (Darya Apushkinskaya)....Pages 1-27
No-Sign Parabolic Obstacle-Type Problems (Darya Apushkinskaya)....Pages 29-71
Boundary Estimates for Solutions of Free Boundary Problems (Darya Apushkinskaya)....Pages 73-106
Back Matter ....Pages 107-146

✦ Subjects

Mathematics; Analysis; Calculus of Variations and Optimal Control; Optimization

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