Partial Differential Equations III

Nonlinear Equations

Michael E. Taylor (Autor)

Buch | Softcover

715 Seiten

2012 | 2nd ed. 2011
Springer-Verlag New York Inc.
978-1-4614-2741-4 (ISBN)

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The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed 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

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.

From the reviews:“These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.”(SIAM Review, June 1998)From the reviews of the second edition:“This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. … Graduate students … will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. … an excellent text for all devotees of the charming and thought-provoking byways of higher mathematics.” (Christian Constanda, The Mathematical Association of America, July, 2011)

Reihe/Serie	Applied Mathematical Sciences ; 117
Zusatzinfo	XXII, 715 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Einstein's equations • navier-stokes equations • Nonlinear elliptic equations • Nonlinear hyperbolic equations
ISBN-10	1-4614-2741-X / 146142741X
ISBN-13	978-1-4614-2741-4 / 9781461427414
Zustand	Neuware