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Regularity of the One-phase Free Boundaries
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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
Links to Related Works
Subject References:
Calculus of variations
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Calculus of Variations and Optimization
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Differential Equations
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Mathematical optimization
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Authors:
author
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Velichkov, Bozhidar
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes of the Unione Matematica Italiana
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Classification:
515.64
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519.6
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