Titel: Partial Differential Equations III
Autoren/Herausgeber: Michael Taylor
Aus der Reihe: Applied Mathematical Sciences
Ausgabe: 2., Softcover reprint of hardcover 2nd ed. 2011
Format: 23,5 x 15,5 cm
Gewicht: 1,116 g
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
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