Partial differential equations. Part II. Qualitative studies of linear equations. Applied mathematical sciences ; Volume 117

Taylor, Michael E.:

ISBN 10: 0387946527 / ISBN 13: 9780387946528

Editore: New York ; Berlin ; Singapore ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer, 1997

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Titolo: Partial differential equations. Part II. ...

Casa editrice: New York ; Berlin ; Singapore ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara : Springer

Data di pubblicazione: 1997

Legatura: Originalpappband.

Condizione: Wie neu

Edizione: Correccted SECOND printing.

Descrizione articolo

Riassunto:

This is the third of three volumes on partial differential equations. It is devoted to nonlinear PDE. There are treatments of a number of equations of classical continuum mechanics, including relativistic versions. There are also treatments of 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. Analytical tools introduced in this volume include the theory of L^p 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 addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis.

Contenuti:

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