to provide knowledge of mathematical methods that are widely used by researchers in the area of Applied Mathematics;
to apply this knowledge to a variety of topics, including the basic equations of mathematical physics and some current research topics about nonlinear equations (traffic flow, gas dynamics, fluid dynamics).
Topics:
Measure and integration theory.
Functions of bounded variation.
Distributions theory.
Fourier transform. Sobolev spaces.
Application to the study of partial differential equations:
elliptic equations of second order, parabolic equations of second order, hyperbolic systems of first-order equations, nonlinear conservation laws.
An outline of semigroup theory.
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Last modified on Tuesday, 30 April 2013 01:09