Multiplicative Partial Differential Equations

<p><strong>Multiplicative Partial Differential Equations</strong> 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.</p><p><strong>Features</strong></p><ul> <li>Includes new classification and canonical forms of second-order MPDEs</li> <li>Proposes the latest techniques in solving the multiplicative wave equation such as the method of separation of variables and the energy method</li> <li>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</li> </ul>