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Evolution Equations With A Complex Spatial Variable by Sorin G Gal, Jerome A Goldstein, Ciprian G Gal (Hardcover, 2014)

About this product

About this product

Product Information

This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schroedinger and Korteweg-de Vries equations.The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions preserve some geometric properties of the boundary function, like the univalence, starlikeness, convexity and spirallikeness. The second method is that of complexifying the spatial variable directly in the corresponding evolution equation from the real case. More precisely, the real spatial variable is replaced by a complex spatial variable in the corresponding evolution equation and then analytic and non-analytic solutions are sought.For the first time in the book literature, we aim to give a comprehensive study of the most important evolution equations of real time variable and complex spatial variables. In some cases, potential physical interpretations are presented. The generality of the methods used allows the study of evolution equations of spatial variables in general domains of the complex plane.

Product Identifiers

Publisher
World Scientific Publishing Co Pte Ltd
ISBN-13
9789814590594
eBay Product ID (ePID)
195051746

Product Key Features

Author
Sorin G Gal, Jerome a Goldstein, Ciprian G Gal
Publication Name
Evolution Equations with a Complex Spatial Variable
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
204 Pages

Dimensions

Volume
14

Additional Product Features

Title_Author
Jerome a Goldstein, Sorin G Gal, Ciprian G Gal
Series Title
Series on Concrete & Applicable Mathematics
Country/Region of Manufacture
Singapore

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