Illustrations for first lecture

These illustrations go with the notes for the first lecture.

Illustration 1: Right-moving sin wave.

Illustration 2: Left-moving sin wave.

Illustration 3: Green's function for the heat equation, 3 shots at fixed times.

Illustration 4: Green's function for the heat equation, animation.

Illustration 5: The Airy function Ai(x).

Illustration 6: Green's function for a third order linear dispersive PDE.

Illustration 7: Blow up in a simple nonlinear equation.


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