| Elliptic Partial Differential Equations: Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains Contributor(s): Volpert, Vitaly (Author) |
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ISBN: 3034605366 ISBN-13: 9783034605366 Publisher: Birkhauser OUR PRICE: $151.99 Product Type: Hardcover - Other Formats Published: March 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial |
| Dewey: 515.353 |
| LCCN: 2011923524 |
| Series: Monographs in Mathematics |
| Physical Information: 1.6" H x 6.2" W x 9.2" (2.30 lbs) 639 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The theory of elliptic partial differential equations has developed during about two centuries together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications. It remains one of the most rapidly developing fields of mathematics. The theory of general elliptic problems is presented in the present first volume of the book. A priori estimates, normal solvability and Fredholm property, index, operators with a parameter, nonlinear Fredholm operators are discussed. Particular attention is paid to elliptic problems in unbounded domains which are not yet sufficiently well presented in the existing literature and which require some special approaches. The second volume will be devoted to reaction-diffusion equations. Existence and bifurcations of solutions, travelling waves, spectral properties and other questions are studied in relation with numerous applications in chemical physics, biology and medicine. |