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Partial Differential Equations III
Michael E. Taylor
其他書名
Nonlinear Equations
出版Springer Science & Business Media, 2010-11-02
主題Mathematics / Differential Equations / GeneralMathematics / Mathematical Analysis
ISBN14419704959781441970497
URLhttp://books.google.com.hk/books?id=wFr9pQwPUjYC&hl=&source=gbs_api
EBookSAMPLE
註釋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