Lecture 26, 18.300, Tue May 10, 2022. Topic: Laplace Transform for pde % -------------------------------------------------------------------------- 1- Example applications of the Laplace Transform to PDE. 2- Correspondence between LT singularities and spectrum. 3- Important: be careful when moving contour of integration in the inverse Laplace Transform. Behavior at infinity matters. 4- Example of a pde with no normal modes at all. 5- Applications to stability analysis. % % ========================================================================== NOTE: Here #nnn are references to the Lecture Points file. [PSQ] means Problem Set Question. The "lecture summaries and points" are NOT intended as study materials. The points purpose is explained in the "lecture points" file. The summaries are brief descriptions each lecture, used by the instructor to keep track of the material covered. They ARE *NOT* "lecture notes" to be used to study and/or replace attending the lectures, etc. They are provided for your convenience, as a help to organize your own notes. % ========================================================================== % EOF