Partial Differential Equations 2
Functional Analytic Methods
Sauvigny, Friedrich.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
gw
2006
monographic
eng
access
XIV, 392 p. 8 illus., 1 illus. in color. online resource.
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this second volume 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 with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, functional analytic methods are used in this volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
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.
by Friedrich Sauvigny.
Differential equations, partial
Functional analysis
Mathematical physics
Partial Differential Equations
Functional Analysis
Mathematical Methods in Physics
QA370-380
515.353
Springer eBooks
Universitext
9783540344629
https://doi.org/10.1007/3-540-34462-4
https://doi.org/10.1007/3-540-34462-4
ISI Library, Kolkata
100301
20181204131311.0
978-3-540-34462-9