Evolution equations with a complex spatial variable / by Ciprian G. Gal (Florida International University, USA), Sorin G. Gal (University of Oradea, Romania), & Jerome A. Goldstein (the University of Memphis, USA)
Historical background and motivation -- Heat and Laplace equations of complex spatial variables -- Higher-order heat and Laplace equations with complex spatial variables -- Wave and telegraph equations with complex spatial variables -- Burgers and Black-Merton-Scholes equations with complex spatial variables -- Schrödinger-type equations with complex spatial variables -- Lenearized Korteweg-de Vries equations with complex spatial variables -- Evolution equations with a complex spatial variable in general domains
Summary
"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"--Publishers website
