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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

2 votes

A convolution integral of airy functions

I do not know how to solve this problem, but I hope this (comment) would be helpful in someway. One can use the Airy function's integral expression $$ Ai(x) = \frac{1}{2\pi i} \int_{\mathcal{C}} e^{ …
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