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Partial Differential Equations 2

Functional Analytic Methods
Buch | Softcover
XIV, 392 Seiten
2006
Springer Berlin (Verlag)
978-3-540-34461-2 (ISBN)

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Partial Differential Equations 2 - Friedrich Sauvigny
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This encyclopedic work covers Partial Differential Equations of the elliptic, parabolic, and hyperbolic type in two and several variables. While partial differential equations are solved via integral representations in the preceding volume, this second volume uses functional analytic solution methods.
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.

Reihe/Serie Universitext
Sprache englisch
Maße 155 x 235 mm
Gewicht 705 g
Einbandart Paperback
Themenwelt Mathematik / Informatik Mathematik
Schlagworte Banach space • Differential Geometry • hilbert space • Nonlinear Elliptic Systems • Partial differential equations • Partielle Differenzialgleichungen
ISBN-10 3-540-34461-6 / 3540344616
ISBN-13 978-3-540-34461-2 / 9783540344612
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