Xinwei Yu

Associate Professor, Faculty of Science - Mathematics & Statistical Sciences
Directory

Fall Term 2024 (1890)

MATH 436 - Intermediate Partial Differential Equations

3 units (fi 6)(FIRST, 3-0-0)

Partial differential equations as physical models. Introduction to basic generalized functions. Theory of linear and quasi-linear first-order equations: general solution, initial value problem, generalized solutions and propagation of singularities, characteristic surfaces, shock formation. Theory of fully nonlinear first order equations: complete solution and the initial value problem. Hamilton-Jacobi equation and its applications. Second order linear equations in n dimensions: classification, canonical form, characteristic surfaces and shock formation, initial and boundary value problem. Prerequisite: MATH 300 or MATH 337.

LECTURE A1 (47668)

2024-09-03 - 2024-12-09
TR 12:30 - 13:50