Partial Differential Equations 2

Functional Analytic Methods
Buch | Softcover
453 Seiten
2012 | 2nd ed. 2012
Springer London Ltd (Verlag)
978-1-4471-2983-7 (ISBN)

Lese- und Medienproben

Partial Differential Equations 2 - Friedrich Sauvigny
80,24 inkl. MwSt
In two comprehensive volumes, updated and revised in a second edition, this textbook spans elliptic, parabolic, and hyperbolic types, and several variables. This second part emphasizes functional analytic methods and applications to differential geometry.
This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated:



solvability of operator equations in Banach spaces 
linear operators in Hilbert spaces and spectral theory
Schauder's theory of linear elliptic differential equations
weak solutions of differential equations 
nonlinear partial differential equations and characteristics
nonlinear elliptic systems
boundary value problems from differential geometry

This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added.

In the first volume, partial differential equations by integral representations are treated in a classical way.

This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.

Operators in Banach Spaces.- Linear Operators in Hilbert Spaces.- Linear Elliptic Differential Equations.- Weak Solutions of Elliptic Differential Equations.- Nonlinear Partial Differential Equations.- Nonlinear Elliptic Systems.- Boundary Value Problems from Differential
Geometry.

Reihe/Serie Universitext
Zusatzinfo 11 Illustrations, black and white; XVI, 453 p. 11 illus.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie
Schlagworte degree of mapping in Banach spaces • Monge-Ampère equations • nonlinear elliptic systems and H-surfaces • Partielle Differenzialgleichungen • Schauder's continuity method • spectral theory • weak solutions and regularity
ISBN-10 1-4471-2983-0 / 1447129830
ISBN-13 978-1-4471-2983-7 / 9781447129837
Zustand Neuware
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