Fundamental Solutions of Linear Partial Differential Operators Theory and Practice /

• Main Authors: Ortner, Norbert (Author), Wagner, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Subjects: Mathematics.; Functional analysis.; Integral transforms.; Operational calculus.; Partial differential equations.; Partial Differential Equations.; Integral Transforms, Operational Calculus.; Functional Analysis.

This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attent...

Table of Contents:

• Introduction
• I. Distributions and Fundamental Solutions
• II. General Principles for Fundamental Solutions
• III. Parameter Integration
• IV. Quasihyperbolic Systems
• V. Fundamental Matrices of Homogeneous Systems
• Appendix: Table of Operators/Systems with References to Fundamental Solutions/Matrices
• References
• Index.