Trying to solve
$$u_t = |\nabla u| \quad u(0,x) = e^{-|x|^2/2}$$
using method of characteristics. I can solve it without the absolute value, but not sure how to handle them since these solutions don't seem to give a solution to this equation.
2026-03-26 06:27:40.1774506460
Solving the G - equation with method of characteristics
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