Description: Fundamental Solutions of Linear Partial Differential Operators : Theory and Practice, Paperback by Ortner, Norbert; Wagner, Peter, ISBN 3319367994, ISBN-13 9783319367996, Brand New, Free shipping in the US 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 attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of th deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, th also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. Th mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.
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Book Title: Fundamental Solutions of Linear Partial Differential Operators :
Number of Pages: Xii, 398 Pages
Language: English
Publication Name: Fundamental Solutions of Linear Partial Differential Operators : Theory and Practice
Publisher: Springer International Publishing A&G
Subject: Differential Equations / General, Functional Analysis, Differential Equations / Partial, Mathematical Analysis
Item Height: 0.8 in
Publication Year: 2016
Item Weight: 218.8 Oz
Type: Textbook
Author: Peter Wagner, Norbert Ortner
Item Length: 9.2 in
Subject Area: Mathematics
Item Width: 6.1 in
Format: Trade Paperback
