Partial Differential Equations III: Nonlinear Equations, 2nd - Taschenbuch

EAN (ISBN-13): 9781441970497
ISBN (ISBN-10): 1441970495
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
715 Seiten
Sprache: eng/Englisch

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ISBN/EAN: 9781441970497

ISBN - alternative Schreibweisen:
1-4419-7049-5, 978-1-4419-7049-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: michael taylor
Titel des Buches: partial differential qualitative, partial differential equations nonlinear, partial differential equations iii

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Daten vom Verlag:

Autor/in: Michael E. Taylor
Titel: Applied Mathematical Sciences; Partial Differential Equations III - Nonlinear Equations
Verlag: Springer; Springer US
715 Seiten
Erscheinungsjahr: 2010-11-02
New York; NY; US
Sprache: Englisch
213,99 € (DE)
220,00 € (AT)
236,00 CHF (CH)
Available
XXII, 715 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Einstein's equations; Navier-Stokes equations; Nonlinear elliptic equations; Nonlinear hyperbolic equations; partial differential equations; A; Differential Equations; Mathematics and Statistics; BC

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^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. 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. In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, an extension of complex interpolation theory, and Navier-Stokes equations with small viscosity. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “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)
Three volumes offer complete reference to PDE's Includes both theory and applications Lots of examples and exercises Includes supplementary material: sn.pub/extras