First Course on Partial Differential Equations - II

This is intended to be a first course on the subject Partial Differential Equations, which generally requires 40 lecture hours (One semester course). So, we plan to make this course in two parts – 20 hours each. We plan to offer the first part starting in January 2021 and second part may be in July 2021 or latest by 2022.INTENDED AUDIENCE : Mathematics, Science and EngineeringPREREQUISITES : First Course on Partial Differential Equations – I (Video Course) Functional Analysis, Integration TheoryINDUSTRIES SUPPORT : NIL

Week-1:Hamilton Jacobi Equations
Week-2:Conservation Laws
Week-3:Conservation Laws Week-4:Laplace and Poisson Equations – Further topics
Week-5:Laplace and Poisson Equations – Further topics
Week-6:Multi-Dimensional Heat Equation
Week-7:Multi-Dimensional Wave Equation
Week-8:Introduction to Weak solutions