Elliptic–Hyperbolic Partial Differential Equations A Mini-Course in Geometric and Quasilinear Methods /

• Main Author: Otway, Thomas H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.

This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example:   • The heat...

Table of Contents:

• Introduction
• Overview of elliptic–hyperbolic PDE
• Hodograph and partial hodograph methods
• Boundary value problems
• B¨acklund transformations and Hodge-theoretic methods
• Natural focusing.