Evolution Equations With A Complex Spatial Variable
Regular price
€83.99
14 days return policy
Shipping & Delivery
A01=Ciprian G Gal
A01=Jerome A Goldstein
A01=Sorin G Gal
Author_Ciprian G Gal
Author_Jerome A Goldstein
Author_Sorin G Gal
Black-Merton-Scholes
BlackAcAEURA"MertonAcAEURA"Scholes
Black–Merton–Scholes
Burgers
Category=PBF
Category=PBKD
Category=PBKJ
Category=PBW
Complex Convolution Integrals
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Evolution Equations of Complex Spatial Variables
Heat
Korteweg-de Vries Equations
KortewegAcAEURA"de Vries Equations
Korteweg–de Vries Equations
Laplace
Schrodinger
Semigroup of Linear Operators
Telegraph
Wave
Product details
- ISBN 9789814590594
- Publication Date: 07 May 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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, Schrödinger 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.
