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Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
1
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Monotonicity preserving parabolic operators
I am not convinced the argument works under the current specifications you have given (it can, but you need to make them). You claim that the last two inequalities lead to the desired result (I assume …
1
vote
LINEAR Parabolic equations. Smooth dependence from initial data
If you wish to consider continuous dependence for your problem, you must further specify the type of solutions you are interested in (i.e. solutions that satisfy a particular bound), for otherwise non …