Fundamental Solutions of Linear Partial Differential Operators

Fundamental Solutions of Linear Partial Differential Operators

AngličtinaPevná vazbaTisk na objednávku
Ortner Norbert
Springer, Berlin
EAN: 9783319201399
Tisk na objednávku
Předpokládané dodání v pátek, 7. března 2025
2 633 Kč
Běžná cena: 2 925 Kč
Sleva 10 %
ks
Chcete tento titul ještě dnes?
knihkupectví Megabooks Praha Korunní
není dostupné
Librairie Francophone Praha Štěpánská
není dostupné
knihkupectví Megabooks Ostrava
není dostupné
knihkupectví Megabooks Olomouc
není dostupné
knihkupectví Megabooks Plzeň
není dostupné
knihkupectví Megabooks Brno
není dostupné
knihkupectví Megabooks Hradec Králové
není dostupné
knihkupectví Megabooks České Budějovice
není dostupné
knihkupectví Megabooks Liberec
není dostupné

Podrobné informace

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 the book 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, the book 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.

The book 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.

EAN 9783319201399
ISBN 3319201395
Typ produktu Pevná vazba
Vydavatel Springer, Berlin
Datum vydání 17. srpna 2015
Stránky 398
Jazyk English
Rozměry 235 x 155
Země Switzerland
Sekce Professional & Scholarly
Autoři Ortner Norbert; Wagner Peter
Ilustrace XII, 398 p. 5 illus.
Edice 1st ed. 2015