Kernel Functions And Elliptic Differential Equations In Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Transformations, Transmutations, and Kernel Functions, Volume II

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.