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Results tagged with heat-equation
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user 76602
1
vote
1
answer
141
views
Does this time-dependent trace space have a name?
This question is a follow up to this question.
Let $\Omega \subset \mathbb{R}^d$ be an open connected set. For each $t\in \mathbb{R}^+$ let $u_d:\partial\Omega \to \mathbb{R}$ be in $H^{1/2}(\partia …
CommunityBot
- 1
8
votes
2
answers
402
views
Bounded input Bounded output stability for heat equation
This is a cross-post from Computational Science.
I am interested in proving or obtaining a counterexample to the following conjecture.
Let $\Omega\subset\mathbb{R}^d$ be a bounded open domain. Let …
CommunityBot
- 1