Lecture 3.7: Second Order Partial Differential Equations - Characteristic Surfaces
Channel: IIT Bombay July 2018
Date: 2021-08-20

In this lecture, we define regular hypersurfaces in dimensions greater than 2. We define the property of being a characteristic surface and discuss simpler criterion for a regular level set to be a characteristic surface. Based on this definition, the classification of second order PDEs is extended to higher dimensions.