Partial Differential Equations 2 Functional Analytic Methods
β Scribed by Friedrich Sauvigny
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Leaves
- 400
- Series
- Universitext
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ 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.
π SIMILAR VOLUMES
<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
<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
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.