10:03 AM
4
Despite the catastrophe for the world and the many victims, at least the lockdown is favorable to two activities: Mathematics and Gardening. The difficulty of handling hedge trimmer wires and garden hoses calls to some mathematical questions relative to the (un)knots in $R^3$, which are very natu...
The tag knots was created and removed before: mathoverflow.net/posts/108118/revisions mathoverflow.net/posts/104172/revisions
Posts where knots was added/removed (with editors): data.stackexchange.com/mathoverflow/query/1105163/… data.stackexchange.com/mathoverflow/query/1038474/…
Most frequent taggers/removers for knots: data.stackexchange.com/mathoverflow/query/1146497/… data.stackexchange.com/mathoverflow/query/1038477/…
11 hours later…
9:21 PM
1
Consider the free boundary problem $$ \min\{u_t - u_{xx} -1, u \} = 0 \qquad \text{ in } (0,T)\times (-1,1) \\ u(0,\cdot) = 0 \qquad \text{ in } (-1,1)\\ u(\cdot, -1) = u(\cdot, 1) = 0 \qquad \text{ in } (0,T) $$ Can we obtain an explicit solution for it?
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