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Jul 24, 2013 at 8:32 answer added Christian Clason timeline score: 3
Jul 24, 2013 at 7:30 comment added Chris_A @ChristianClason Thanks I read that thread. Still I ask maybe somebody has other suggestions.
Jul 24, 2013 at 7:30 comment added Chris_A Thanks for the responses.. @WillieWong Yes that's exactly right. Particularly I care about parabolic PDE, eg. of form $u_t + Au = f$ where $f$ is measure or something cooler than just $L^p$ functions.
Jul 23, 2013 at 9:46 comment added Willie Wong I would also ask the OP to clarify a bit. The phrase "measure valued data" and "weak/Sobolev spaces" seem a little bit odd to me. What exactly is it meant by "measure valued data"? Do you mean you want to study low regularity problems where the data is a measure on your space (as opposed to, say, a Lebesgue measurable function)?
Jul 22, 2013 at 22:45 history edited user9072
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Jul 22, 2013 at 22:43 comment added user9072 @TomekKania: could you please elaborate. The book you mention is a two volume treatise totaling more than thousand pages. At a glance this strikes me as the opposite what OP is looking for, but perhaps I am missing something.
Jul 22, 2013 at 22:09 comment added Christian Clason Related: mathoverflow.net/questions/136798
Jul 22, 2013 at 20:34 answer added Mohammad Safdari timeline score: 3
Jul 22, 2013 at 16:43 comment added Tomasz Kania Bogachev's Measure Theory seems what you need.
Jul 22, 2013 at 16:39 comment added Alex R. It's probably more of a light supplement but, try the appendix of Evan's PDE book.
Jul 22, 2013 at 16:24 history asked Chris_A CC BY-SA 3.0