Partial Differential Equations 2
Functional Analytic Methods
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Beschreibung
This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. This second volume addresses the following topics: 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 solution methods are used in this volume.
Connects clearly PDEs and complex variable methods The exposition is very careful and readable Encyclopedia-like book on the subject
Autor*in
Friedrich Sauvigny
Themen in »Partial Differential Equations 2«
Banach Space Differential Geometry Hilbert space Nonlinear Elliptic Systems Partial Differential Equations partial differential equation
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From the reviews:
“The author’s aim is to present the entire domain Partial Differential Equations to students at an intermediate level. … it is a carefully written treatise and with its quite non-standard choice of topics provides a welcome addition to the textbook literature on partial differential equations.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 154 (1), May, 2008)()