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Stochastic ordinary and partial differential equations generalize the concepts of ordinary and partial differential equations to the setting where the unknown is a stochastic process.
2
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0
answers
95
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What type of boundary (if any) problem for this family of elliptic PDEs? "half boundary"?
Classic literature for a general elliptic PDE with Dirichlet boundary condition is typically studied with the following set up: Let $\Omega \subset R^n$ be some open bounded domain and $\partial \Omeg …
1
vote
0
answers
360
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Locally Lipschitz sufficiently implies a Gronwall inequality?
In the paper [1], it seems to me the authors implicitly use a local Lipschitz property to deduce a Gronwall's inequality. I am not able to justify/show that this is indeed the case and perhaps someone …