Partial Differential Equation Theory and Its Applications

Dear Colleagues,

In mathematics, a partial differential equation (PDE) is an equation that imposes relations between the various partial derivatives of a multivariable function. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. In addition, partial differential equations are ubiquitous in mathematically oriented scientific fields, such as physics and engineering. Partly due to this variety of sources, there is a wide spectrum of different types of partial differential equations, and methods have been developed for dealing with many of the individual equations which arise.

The Special Issue aims to publish in as much detail as possible scientific advances in the field of partial differential equation theory, analytical and numerical solutions, and their applications. Both original research and review papers are encouraged.

Prof. Dr. Zheng-An Yao
Guest Editor

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