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. The appendices have also been updated
with additional results, ranging from weak convergence of measures
to the curvature of Kahler manifolds. 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.” (Peter Lax,
SIAM review, June 1998)
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Applied Mathematical Sciences, 117 |
| Release date: |
September 2023 |
| Firstpublished: |
2023 |
| Authors: |
Michael E Taylor
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
734 |
| Edition: |
3rd ed. 2023 |
| ISBN-13: |
978-3-03-133927-1 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-133927-4 |
| Barcode: |
9783031339271 |
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