Evolution Equations With A Complex Spatial Variable is popular PDF and ePub book, written by Ciprian G Gal in 2014-03-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Evolution Equations With A Complex Spatial Variable can be Read Online from any device for your convenience.
Evolution Equations With A Complex Spatial Variable Book PDF 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.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.
Detail Book of Evolution Equations With A Complex Spatial Variable PDF
- Author : Ciprian G Gal
- Release : 18 March 2014
- Publisher : World Scientific
- ISBN : 9789814590617
- Genre : Mathematics
- Total Page : 202 pages
- Language : English
- PDF File Size : 9,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Evolution Equations With A Complex Spatial Variable by Ciprian G Gal, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.