TY  - BOOK
AU  - Sauvigny,Friedrich
ED  - SpringerLink (Online service)
TI  - Partial Differential Equations 1: Foundations and Integral Representations 
T2  - Universitext,
SN  - 9781447129813
AV  - QA370-380 
U1  - 515.353 23
PY  - 2012///
CY  - London
PB  - Springer London
KW  - Mathematics
KW  - Partial differential equations
KW  - 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 -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in Rn
N2  - 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. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer's mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study
UR  - http://dx.doi.org/10.1007/978-1-4471-2981-3
ER  -