Linear Partial Differential Operators - Hörmander, Lars

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Biographie:
Biography Lars H?rmander Born on January 24, 1931, on the southern coast of Sweden, Lars H?rmander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars G?rding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor. H?rmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. His book Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period....

Sommaire:
I: Functional analysis.- I. Distribution theory.- II. Some special spaces of distributions.- II: Differential operators with constant coefficients.- III. Existence and approximation of solutions of differential equations.- IV. Interior regularity of solutions of differential equations.- V. The Cauchy problem (constant coefficients).- III: Differential operators with variable coefficients.- VI. Differential equations which have no solutions.- VII. Differential operators of constant strength.- VIII. Differential operators with simple characteristics.- IX. The Cauchy problem (variable coefficients).- X. Elliptic boundary problems.- Appendix. Some algebraic lemmas.- Index of notations.