✦ LIBER ✦

Geometry in partial differential equations

✍ Scribed by A. Prastaro, Th. M. Rassias

Book ID: 127428283
Publisher: World Scientific
Year: 1994
Tongue: English
Weight: 3 MB
Category: Library
City: Singapore; New Jersey
ISBN-13: 9789810214074

No coin nor oath required. For personal study only.

✦ Synopsis

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence to partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of super-manifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.

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