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Regularity of Free Boundaries in Obstacle-Type Problems (Graduate Studies in Mathematics) - Tapa dura

Libro 112 de 190: Graduate Studies in Mathematics

Petrosyan, Arshak; Shahgholian, Henrik; Uraltseva, Nina

 
9780821887943: Regularity of Free Boundaries in Obstacle-Type Problems (Graduate Studies in Mathematics)
Tapa dura
ISBN 10: 0821887947 ISBN 13: 9780821887943
Editorial: American Mathematical Society, 2012

Sinopsis

The regularity theory of free boundaries flourished during the late 1970s and early 1980s and had a major impact in several areas of mathematics, mathematical physics, and industrial mathematics, as well as in applications. Since then the theory continued to evolve. Numerous new ideas, techniques, and methods have been developed, and challenging new problems in applications have arisen. The main intention of the authors of this book is to give a coherent introduction to the study of the regularity properties of free boundaries for a particular type of problems, known as obstacle-type problems. The emphasis is on the methods developed in the past two decades. The topics include optimal regularity, nondegeneracy, rescalings and blowups, classification of global solutions, several types of monotonicity formulas, Lipschitz, $C^1$, as well as higher regularity of the free boundary, structure of the singular set, touch of the free and fixed boundaries, and more. The book is based on lecture notes for the courses and mini-courses given by the authors at various locations and should be accessible to advanced graduate students and researchers in analysis and partial differential equations.

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Acerca del autor

Arshak Petrosyan, Purdue University, West Lafayette, IN, USA

Henrik Shahgholian, Royal Institute of Technology, Stockholm, Sweden

Nina Uraltseva, St. Petersburg University, St. Petersburg, Russia

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2012
Idioma
Inglés
ISBN 10 
0821887947
ISBN 13 
9780821887943
Encuadernación
Tapa dura
Número de páginas
221
Contacto del fabricante
no disponible
Persona responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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