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Sep 24, 2010 at 5:45 comment added Armin Straub Thank you! Regularity via uniqueness is an interesting point. I'm not sure about the initial conditions though. It seems that getting derivative values at one point from a distributional solution (which we just know to be a solution; no initial conditions) requires the smoothness (well, at least some smoothness) that we are trying to establish.
Sep 24, 2010 at 0:41 history edited Andreas Minne CC BY-SA 2.5
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Sep 24, 2010 at 0:34 history edited Andreas Minne CC BY-SA 2.5
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Sep 24, 2010 at 0:24 comment added Mariano Suárez-Álvarez But the question is not about uniqueness but about regularity.
Sep 24, 2010 at 0:16 history answered Andreas Minne CC BY-SA 2.5