Regularity of the One-phase Free Boundaries

Bozhidar Velichkov

  • Springer

  • Date de publication : 2023-02-24

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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.

Détails
Auteur
Bozhidar  Velichkov
Marque
Springer
Collection
n.c
Parution
2023-02-24
Pages
247 pages
EAN papier
9783031132377
Langue
Anglais
Informations ebook
EAN PDF
9783031132384
Prix
0,00 €
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Nb pages copiables 2
Nb pages imprimables 24
Taille du fichier 3656 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
EAN EPUB
9783031132384
Prix
0,00 €
En savoir plus
Nb pages copiables 2
Nb pages imprimables 24
Taille du fichier 17551 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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Auteur(s) du livre


Defaut-Illustration Bozhidar Velichkov
Bozhidar Velichkov is working in the fields of Calculus of Variations and Partial Differential Equations, in particular, his research is focused on the regularity and the local structure of the solutions to free boundary problems. He has several important contributions to the theory of the vectorial free boundary problems and developed new tools as the epiperimetric and the log-epiperimetric inequalities for free boundary problems.


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