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MATH436 - Intermediate Partial Differential Equations I

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 337.

Fall Term 2020

Lecture Sections

Fall Term 2020 - LEC A1 (75610)

TR 12:30:00 - 13:50:00 (CAB 269)

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