An Introduction to Sobolev Spaces and Interpolation Spaces

Luc Tartar

ISBN 10: 3540714820 ISBN 13: 9783540714828

Editore: Springer, 2007

Lingua: Inglese

Condizione: Nuovo Brossura

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Dati bibliografici

Titolo

An Introduction to Sobolev Spaces and Interpolation Spaces

Editore

Springer

Data di pubblicazione

2007

Lingua

Inglese

ISBN 10

3540714820

ISBN 13

9783540714828

Rilegatura

Taschenbuch

Condizione

Neu

Dimensioni

Peso

391 grammi

Cataloghi dei venditori

B�cher

Descrizione articolo

Riassunto

After publishing an introduction to the Navier�Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

Informazioni sull?autore

Luc Tartar studied at Ecole Polytechnique in Paris, France, 1965-1967, where he was taught by Laurent Schwartz and Jacques-Louis Lions in mathematics, and by Jean Mandel in continuum mechanics.

He did research at Centre National de la Recherche Scientifique, Paris, France, 1968-1971, working under the direction of Jacques-Louis Lions for his th�se d'�tat, 1971.

He taught at Universit� Paris IX-Dauphine, Paris, France, 1971-1974, at University of Wisconsin, Madison, WI, 1974-1975, at Universit� de Paris-Sud, Orsay, France, 1975-1982.

He did research at Commissariat � l'Energie Atomique, Limeil, France, 1982-1987.

In 1987, he was elected Correspondant de l'Acad�mie des Sciences, Paris, in the section M�canique.

Since 1987 he has been teaching at Carnegie Mellon University, Pittsburgh, PA, where he has been University Professor of Mathematics since 1994.

Partly in collaboration with Fran�ois Murat, he has specialized in the development of new mathematical tools for solving the partial differential equations of continuum mechanics (homogenization, compensated compactness, H-measures), pioneering the study of microstructures compatible with the partial differential equations describing the physical balance laws, and the constitutive relations.

He likes to point out the defects of many of the models which are used, as a natural way to achieve the goal of improving our understanding of mathematics and of continuum mechanics.

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