An Introduction to Sobolev Spaces and Interpolation Spaces

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 thése d'ètat, 1971. He taught at Universitè Paris IX-Dauphine, Paris, France, 1971-1974, at University of Wisconsin, Madison, WI, 1974-1975, at Universitè de Paris-Sud, Orsay, France, 1975-1982. He did research at Commissariat á l'Energie Atomique, Limeil, France, 1982-1987. In 1987, he was elected Correspondant de l'Acadèmie des Sciences, Paris, in the section Mècanique. 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 François 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.Tartar, Luc is the author of 'An Introduction to Sobolev Spaces and Interpolation Spaces', published 2007 under ISBN 9783540714828 and ISBN 3540714820.