Nonlinear equations
著者
書誌事項
Nonlinear equations
（Applied mathematical sciences, v. 117 . Partial differential equations / Michael E. Taylor ; 3）
Springer, c1997
Corr. 2nd print.
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Nonlinear equations / Michael E. Taylor
BA27866826
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Nonlinear equations / Michael E. Taylor
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 13) Function space and operator theory for nonlinear analysis
- 14) Nonlinear elliptic equations
- 15) Nonlinear parabolic equations
- 16) Nonlinear hyperbolic equations
- 17) Euler and Navier-Stokes equations for incompressible fluids
- 18) Einstein's equations
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