MATH 438 - Intermediate Partial Differential Equations II

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

Faculty of Science

Second order equations in n dimension: classification, canonical form, characteristic surfaces. Laplace equation as a representative of the elliptic equation: the mean value theorem, fundamental solutions and Green functions, the boundary value problems. Wave equation as a representative of hyperbolic equations: initial value problems, the d'Alambert formula, the method of descent, propagation of singularities, Duhamel's principle. Heat equation as a representative of parabolic equations: initial value problems. Introduction to integral transforms: Fourier, Laplace, Hankel transforms. Prerequisite: MATH 337.

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