Partial Differential Equations Iii Nonlinear Equations Third Edition 3rd Edition Michael E Taylor by Michael E. Taylor 9783031339288, 9783031339271, 3031339282, 3031339274 instant download after payment.

Mathematics Subject Classification (2010): • 35A01 Existence problems for PDEs: global existence, local existence, non-existence • 35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness • 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation • 35J25 Boundary value problems for second-order elliptic equations• 35K05 • 35L05 Wave equation • 35Q30 Navier-Stokes equations • 35Q35 PDEs in connection with fluid mechanics • 35S05 Pseudodifferential operators as generalizations of partial differential operators

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. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. Updated appendices …