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Detalles bibliogr�ficos

T�tulo: An Introduction to Sobolev Spaces and Interpolation Spaces
Editor: Secaucus, New Jersey, U.S.A.: Springer Verlag
Fecha de publicaci�n: 2007
Idioma: Ingl�s
ISBN 10: 3540714820
ISBN 13: 9783540714828
Encuadernaci�n: Soft cover
Edici�n: 1st Edition
Estado: New
Estado de la sobrecubierta: New

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Sinopsis

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.

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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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