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Jun 29, 2016 at 16:18 comment added Pedro Lauridsen Ribeiro Hmm... This is usually done using semigroup methods, which were introduced into the study of nonlinear evolution equations mainly by Kato. Good references for this are Kato's papers and the books of Tanabe and Pazy.
Jun 29, 2016 at 16:14 comment added Arnold Neumaier @PedroLauridsenRibeiro: I want to look at some nonlinear evolution equations (modeling some application where it is not yet clear how the equations will actually look like) whose linear constant coefficient approximation is of the kind described. So I wonder whether the techniques used in the linear case have already been extended in some way to a nonlinear setting.
Jun 29, 2016 at 15:35 comment added Pedro Lauridsen Ribeiro Are you asking out of sheer curiosity, or do you have a specific problem in mind? Isn't Stone's theorem enough?
Jun 29, 2016 at 12:42 history asked Arnold Neumaier CC BY-SA 3.0