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Sep 5, 2013 at 3:15 comment added vojta havlíček user39289 - true. The original problem is indeed ill posed. That is the reason for the reformulation as then there is always correct sense of diffusion thanks to specifying final conditions on negative x half-domain, instead of initial ones.
Aug 29, 2013 at 12:32 comment added timur But deciding which boundary/initial/final conditions to be specified seems to be a part of the problem itself. For instance, the OP was suggesting to solve the forward heat part with an initial condition, and the backward heat part with a final condition.
Aug 29, 2013 at 2:28 review First posts
Aug 29, 2013 at 2:37
Aug 29, 2013 at 2:10 history answered user39289 CC BY-SA 3.0