Lesson 7: The Laplace equation, part VI. The Heat Equation, part I.

13 Março 2018, 14:00 • Hugo Tavares

The Dirichlet Principle for the Poisson Problem. The drawbacks of working in the space of C^2 functions.The heat/diffusion equation: initial and boundary conditions. The parabolic cylinder, and the space of C^{2,1} functions. The weak maximum principle and consequences: uniqueness, stability and comparison.