Partial Differential Equations III: Nonlinear Equations - Couverture rigide

Livre 46 sur 94: Applied Mathematical Sciences

Taylor, Michael-E

 
9780387946528: Partial Differential Equations III: Nonlinear Equations

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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Autres éditions populaires du même titre

9781441970480: Partial Differential Equations III: Nonlinear Equations

Edition présentée

ISBN 10 :  1441970487 ISBN 13 :  9781441970480
Editeur : Springer-Verlag New York Inc., 2010
Couverture rigide