I am requesting some references to learn appropriate measure theory for PDEs. Specifically, I would like to learn all the measure theory necessary to understand well-posedness of PDEs with measure valued data and things like that (I prefer weak/Sobolev spaces). I really would like something succinct without too much extra detail, so a book called "Measure Theory" would probably be a bad suggestion. Maybe a set of lecture notes designed for PDE people would be good?
I would like to avoid all the minute details and lemmas that I will never remember if possible. Thanks.