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Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.

5 votes
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Why is this test function admissible? [Paper explanation]

The reason I'm asking is because characteristic\indicator functions have no smooth derivatives and plus I don't understand in which function space of test functions the authors define the weak form …
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1 vote

Compact embedding between parabolic Hölder spaces

You may want to check the details, but I think that the following argument (or something like it) is enough to give you compactness. I am assuming throughout that your smaller space is contained in $C …
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  • 778