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Sep 24, 2010 at 5:52 comment added Armin Straub Thanks for your answer! That only asserts the existence of real analytic solutions, doesn't it? Together with classical uniqueness, one still needs a result which says that weak solutions (in our case) are indeed classical. Do you know a nice reference for that?
Sep 24, 2010 at 0:38 history edited Dick Palais CC BY-SA 2.5
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Sep 24, 2010 at 0:26 history answered Dick Palais CC BY-SA 2.5