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Synopsis
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. ^
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From the Back Cover
THIS TEXT PROVIDES AN INTRODUCTION TO THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS. IT INTRODUCES BASIC EXAMPLES OF PARTIAL DIFFERENTIAL EQUATIONS, ARISING IN CONTINUUM MECHANICS, ELECTROMAGNETISM, COMPLEX ANALYSIS AND OTHER Areas, AND DEVELOPS A NUMBER OF TOOLS FOR THEIR SOLUTION, INCLUDING PARTICULARLY FOURIER ANALYSIS, DISTRIBUTION THEORY, AND Sobolev SPACES.
About the Author
Taylor, Reader in Government, University of Essex.
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Nonlinear equations. Applied mathematical sciences 117; Partial differential equations.
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Partial Differential Equations III : Nonlinear Equations
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Partial Differential Equations III: Nonlinear Equations. (= Applied Mathematical Sciences, Band 117).
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Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences, 117).
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Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences)
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Partial Differential Equations III: Nonlinear Equations
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Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences)
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Partial Differential Equations III: Nonlinear Equations Taylor, Michael-E
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Partial Differential Equations III : Nonlinear Equations .Applied Mathematical Sciences, 117.
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Partial differential equations. Part III. Nonlinear equations. Applied mathematical sciences ; Volume 117
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