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Aug 27, 2014 at 7:34 comment added Jean Van Schaftingen Concerning the assumptions, don’t you have an assumption of the kind $u \in L^2 ((0, \infty); H^1 (M))$ so that the last term in your weak formulation is well-defined.
Jul 4, 2014 at 8:45 comment added leo monsaingeon For non-negative solutions you can use approximation with standard $L^1$-contractivity. For signed solutions I have no idea, I don't think the argument is so straightforward...
Jul 3, 2014 at 20:43 history edited TomJoseph CC BY-SA 3.0
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Jul 3, 2014 at 20:39 comment added TomJoseph I edited to include the source uam.es/personal_pas/mbonfort/papers/04p-BG05-JFA.pdf.
Jul 3, 2014 at 20:37 history edited TomJoseph CC BY-SA 3.0
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Jul 3, 2014 at 20:04 comment added Yemon Choi "It is claimed..." where is it claimed?
Jul 3, 2014 at 19:54 history edited TomJoseph CC BY-SA 3.0
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Jul 3, 2014 at 19:48 history asked TomJoseph CC BY-SA 3.0