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Results tagged with parabolic-pde
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user 51695
Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
3
votes
Accepted
Interchange of integration and supremum
I don't think your left hand side is well defined for the class of $u$ you are considering, I can change each $u(.,t)$ to a large value on the zero-set $S_{|t|}$, which will result in the supremum pic …
- 2,504
0
votes
Derivative of Wasserstein distance $W^p_p$ along solutions of the continuity equation (contr...
Without having read the sources in detail, I would notice the following:
In (4) the second measure is time independent. To satisfy (1) this then corresponds to $(\rho^{(2)}_t,v_t^{(2)}) = (\nu,0)$. Bu …
- 2,504
5
votes
Accepted
Existence of directional heat equation without uniform ellipticity
As you do not have any sort of coupling in any spatial direction other than $x_1$, what you have here is not actually a time-dependent PDE in $d$-dimensions but a $(d-1)$-parameter family of time-depe …
- 2,504