Partial Differential Equations III (2^nd Ed., Softcover reprint of hardcover 2nd ed. 2011)
Nonlinear Equations
Applied Mathematical Sciences Series, Vol. 117

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.

Three volumes offer complete reference to PDE's Includes both theory and applications Lots of examples and exercises Includes supplementary material: sn.pub/extras