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.
