Course Description:
Introduction to analytic theory of PDEs of fundamental
and applied science; wave (hyperbolic),
Laplace and Poisson equations (elliptic), heat
(parabolic) and Schroedinger (dispersive) equations;
fundamental solutions, Green’s functions,
weak/distribution solutions, maximum principle,
energy estimates, variational methods, method
of characteristics; elementary functional analysis
and applications to PDEs; introduction to nonlinear
PDEs, shocks; selected applications.
Faculty/Manager:
Guillaume Bal
Contact Information:
Guillaume Bal
email: gb2030@columbia.eduCredits for Course: 3 Viewing Schedule: 1 lecture per week Prerequisites: Advanced calculus, basic concepts in analysis, Linear Algebra (APMA E3101) and Partial Differential Equations (APMA E4200) or their equivalents, or permission of the instructor.
* The information contained in this syllabus is subject to change at any time.