Michael E. Taylor

Partial Differential Equations III

Nonlinear Equations

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Applied Mathematical Sciences 117
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4614-2741-4
• 2. Aufl.
• Seitenzahl: 740
• Erscheinungstermin: 27. Dezember 2012
• Englisch
• Abmessung: 235mm x 155mm x 40mm
• Gewicht: 1092g
• ISBN-13: 9781461427414
• ISBN-10: 146142741X
• Artikelnr.: 36857897

Autorenporträt

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.

Inhaltsangabe

Contents of Volumes I and II.- Preface.- 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.- Index.

Rezensionen

From the reviews:

"These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."(SIAM Review, June 1998)

From the reviews of the second edition:

"This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. ... Graduate students ... will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. ... an excellent text for all devotees of the charming and thought-provoking byways of higher mathematics." (Christian Constanda, The Mathematical Association of America, July, 2011)