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Apr 7, 2016 at 14:08 comment added user105554 I want for example that it is ill posed in the sense that the solution to the equation has Fourier coeffiecients which grow up superexponential, and therefore it cant be in any Sobolev space (like for the Backwards heat equation). How ever when I have the function $g(x,t)$ , I do not know how to compute the solution (by Fourier methods for example for the Backwards Heat equation). Thank for your comment!
Apr 7, 2016 at 13:42 history answered Bazin CC BY-SA 3.0