Timeline for Continuity of solution of a parabolic PDE w.r.t. system parameters
Current License: CC BY-SA 4.0
4 events
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| Feb 3, 2020 at 8:06 | comment | added | Giorgio Metafune | Yes it is, and the use of semigroups, though not strictly necessary makes it clean. Note that in argument I wrote you can use directly Gronwall lemma instead of taking a small delta. If you work in the same Banach space then continuous depends on data is exatly what a semigroup gives. In your situation some more effort is needed to go from 1 to p. Concerning references, I think that a book dealing with applications of semigroups to nonlinear equations gives all the ideas (e.g. Haroux-Cazenave). | |
| Feb 2, 2020 at 22:58 | comment | added | Bogdan | Isn't that a common question on PDE's? Continuity of the solution for an approximated problem? I didn't find anything on the literature. Do you know some references? Thank you very much for the answer! | |
| Jan 31, 2020 at 21:47 | vote | accept | Bogdan | ||
| Jan 31, 2020 at 21:33 | history | answered | Giorgio Metafune | CC BY-SA 4.0 |