Partial Differential Equations III

Nonlinear Equations

Michael E. Taylor (Autor)

Buch | Hardcover

715 Seiten

2010 | 2nd ed. 2011
Springer-Verlag New York Inc.
9781441970480 (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.

Erscheint lt. Verlag	10.11.2010
Reihe/Serie	Applied Mathematical Sciences ; 117
Zusatzinfo	XXII, 715 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	2660 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9781441970480 / 9781441970480
Zustand	Neuware