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Regularity of the One-phase Free Boundaries

Regularity of the One-phase Free Boundaries
Catalogue Information
Field name Details
Dewey Class 519.6
515.64
Title Regularity of the One-phase Free Boundaries (EBook /) / by Bozhidar Velichkov.
Author Velichkov, Bozhidar
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2023.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2023.
Physical Details XIII, 247 p. 1 illus. : online resource.
Series Lecture Notes of the Unione Matematica Italiana 1862-9121 ; ; 28
ISBN 9783031132384
Summary Note This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories. This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs.:
Mode of acces to digital resource Digital reproduction.-
Cham :
Springer International Publishing,
2023. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-031-13238-4
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