I am working on the following problem:
If we know the dirichlet boundary condition that $u$ evaluates to zero on the spacial boundary, can we say anything about $u_t$ evaluated on the boundary? In particular do we have that $$u_t |_{\delta U} = 0$$
2026-03-31 17:45:57.1774979157
Time derivative if function evaluated on spacial boundary is zero
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