The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
- ISBN10 0387946535
- ISBN13 9780387946535
- Publish Date 1 May 1997 (first published 29 July 1996)
- Publish Status Active
- Out of Print 6 May 2021
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 2nd 1996. Corr. 2nd Printing ed.
- Format Hardcover
- Pages 584
- Language English