TY  - BOOK
AU  - Sauvigny,Friedrich
ED  - SpringerLink (Online service)
TI  - Partial Differential Equations 1: Foundations and Integral Representations 
T2  - Universitext,
SN  - 9783540344599
AV  - QA370-380 
U1  - 515.353 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Differential equations, partial
KW  - Mathematical physics
KW  - Partial Differential Equations
KW  - Mathematical Methods in Physics
N1  - Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n
N2  - 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 first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second 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
UR  - https://doi.org/10.1007/3-540-34459-4
ER  -