Partial Differential Equations 1 Foundations and Integral Representations /

• Main Author: Sauvigny, Friedrich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2012.
• Edition: 2nd ed. 2012.
• Series: Universitext,
• Subjects: Mathematics.; Partial differential equations.; Physics.; Partial Differential Equations.; Mathematical Methods in Physics.

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations....

Table of Contents:

• Differentiation and Integration on Manifolds
• Foundations of Functional Analysis
• Brouwer’s Degree of Mapping
• Generalized Analytic Functions
• Potential Theory and Spherical Harmonics
• Linear Partial Differential Equations in Rn.