Multiplicative Partial Differential Equations
1st Edition
Published on 30. October 2023
268 pages
978-1-000-97005-0 (ISBN)
Description
Multiplicative Partial Differential Equations presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The authors' aim is to present a clear and well-organized treatment of the concepts behind the development of mathematics and solution techniques. The text is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques.
Features
Includes new classification and canonical forms of second-order MPDEs
Proposes the latest techniques in solving the multiplicative wave equation such as the method of separation of variables and the energy method
Useful in allowing for the basic properties of multiplicative elliptic problems, fundamental solutions, multiplicative integral representation of multiplicative harmonic functions, meant-value formulas, strong principle of maximum, multiplicative Poisson equation, multiplicative Green functions, method of separation of variables, and theorems of Liouville and Harnack
Features
Includes new classification and canonical forms of second-order MPDEs
Proposes the latest techniques in solving the multiplicative wave equation such as the method of separation of variables and the energy method
Useful in allowing for the basic properties of multiplicative elliptic problems, fundamental solutions, multiplicative integral representation of multiplicative harmonic functions, meant-value formulas, strong principle of maximum, multiplicative Poisson equation, multiplicative Green functions, method of separation of variables, and theorems of Liouville and Harnack
More details
Series
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
ISBN-13
978-1-000-97005-0 (9781000970050)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Svetlin G. Georgiev | Khaled Zennir
Multiplicative Partial Differential Equations
Book
10/2023
1st Edition
Chapman & Hall/CRC
€166.10
Shipment within 10-20 days
Persons
Svetlin G. Georgiev has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations and dynamic calculus on time scales.
Khaled Zennir received his PhD in mathematics in 2013 from Sidi Bel AbbA?s University, Algeria (assist. professor). He obtained his highest diploma in Algeria (habilitation, mathematics) from Constantine University, Algeria in 2015 (assoc. professor). He is now an associate professor at Qassim University, KSA. His research interests lie in nonlinear hyperbolic partial differential equations: global existence, blow-up and long time behavior.
Khaled Zennir received his PhD in mathematics in 2013 from Sidi Bel AbbA?s University, Algeria (assist. professor). He obtained his highest diploma in Algeria (habilitation, mathematics) from Constantine University, Algeria in 2015 (assoc. professor). He is now an associate professor at Qassim University, KSA. His research interests lie in nonlinear hyperbolic partial differential equations: global existence, blow-up and long time behavior.
Content
1. 1. General Introduction. 2. Classification of Second Order Multiplicative Partial Differential Equations 3. Classification and Canonical Forms. 4. The Multiplicative Wave Equation. 5. The Heat Equation. 6. The Laplace Equation. 7. The Cauchy-Kovalevskaya Theorem.
