Multiplicative Partial Differential Equations

The book provides a comprehensive treatment of Second order MPDEs,including new classification and canonical forms,and proposes a novel technique to solve the multiplicative wave equation. It covers various topics such as fundamental solutions,mean-value formulas,theorems of Liouville and Harnack,and more.

Format: Hardback
Length: 260 pages
Publication date: 30 October 2023
Publisher: Taylor & Francis Ltd

The book presents a comprehensive exploration of Second Order Multiplicative Differential Equations (MPDEs). It introduces novel classification and canonical forms for these equations, paving the way for further study. Moreover, the book proposes a groundbreaking method to solve multiplicative wave equations, including the well-known method of separation of variables and the energy method.

This innovative technique offers a powerful tool for analyzing multiplicative elliptic problems, providing essential properties such as fundamental solutions, multiplicative integral representations, mean-value formulas, strong principles of maximum, multiplicative Poisson equations, multiplicative Green functions, and the method of separation of variables. Furthermore, the book encompasses a range of theorems, including Liouville's and Harnack's theorems, which further strengthen the understanding and applications of MPDEs in various fields.

By presenting a comprehensive and rigorous treatment of Second Order MPDEs, this book serves as a valuable resource for researchers, scholars, and students in mathematics, physics, and engineering. Its innovative approach and practical applications make it an essential addition to the literature on differential equations and their applications.

Weight: 660g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032575032