Variational Inequalities and Flow in Porous Media

Lingua: inglese

Editore: Springer, Copernicus Jun 1984, 1984

0387960023 / 9780387960029

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -These notes are the contents of a one semester graduate course which taught at Brown University during the academic year 1981-1982. They are mainly concerned with regularity theory for obstacle problems, and with the dam problem, which, in the rectangular case, is one of the most in teresting applications of Variational Inequalities with an obstacle. Very little background is needed to read these notes. The main re sults of functional analysis which are used here are recalled in the text. The goal of the two first chapters is to introduce the notion of Varia tional Inequality and give some applications from physical mathematics. The third chapter is concerned with a regularity theory for the obstacle problems. These problems have now invaded a large domain of applied mathematics including optimal control theory and mechanics, and a collec tion of regularity results available seems to be timely. Roughly speaking, for elliptic variational inequalities of second order we prove that the solution has as much regularity as the obstacle(s). We combine here the theory for one or two obstacles in a unified way, and one of our hopes is that the reader will enjoy the wide diversity of techniques used in this approach. The fourth chapter is concerned with the dam problem. This problem has been intensively studied during the past decade (see the books of Baiocchi-Capelo and Kinderlehrer-Stampacchia in the references). The relationship with Variational Inequalities has already been quoted above.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 132 pp. Englisch.…

Codice articolo 9780387960029

Titolo
Variational Inequalities and Flow in Porous Media
Autore
M. Chipot
Editore
Springer, Copernicus Jun 1984
Anno di pubblicazione
1984
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
0387960023
ISBN 13
9780387960029
Peso dell'articolo
213 grammi
Dimensioni
235x155x8 mm

buchversandmimpf2000

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