2 ms·
Also keep in mind that everything assumes the equations are Lipschitz in order to guarantee uniqueness of the solution given specific initial conditions. But th
by pfortuny 4y ago
Also keep in mind that everything assumes the equations are Lipschitz in order to guarantee uniqueness of the solution given specific initial conditions. But this is too optimistic.
y’=y^(1/3)
with y(0) = 0
has an infinite number of solutions.
- constantcrying 4y agoIt gets far worse if it is not an ODE, but a PDE, there a uniqueness criteria is somewhere between "for this PDE in this extremely special case with these extra assumptions ..." up to "?????".