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Partial Differential Equations 2 Functional Analytic Methods

✍ Scribed by Friedrich Sauvigny


Publisher
Springer
Year
2006
Tongue
English
Leaves
400
Series
Universitext
Edition
1
Category
Library

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✦ Synopsis


This comprehensive two-volume textbook presentsΒ 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 volumeΒ 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.


πŸ“œ SIMILAR VOLUMES


Partial Differential Equations 2: Functi
✍ Friedrich Sauvigny (auth.) πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag London 🌐 English

<p><p>This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. </p><p>In this second volume, special emphasis is placed on functional analytic methods and applications to differential

Partial Differential Equations 2: Functi
✍ Friedrich Sauvigny (auth.) πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag London 🌐 English

<p><p>This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. </p><p>In this second volume, special emphasis is placed on functional analytic methods and applications to differential

Partial Differential Equations 2: Functi
✍ Sauvigny, Friedrich πŸ“‚ Library πŸ“… 2012 πŸ› Springer 🌐 English

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.