In an earlier contribution "The general solution to the heat equation" from Apr 27, 2018 a solution to the heat equation in terms of erfc functions was obtained for the following boundary conditions u(x,0)==0, u(0,t) == F(t) (with F(t)= exp(lambda*t)). These boundary conditions do not fall into the well-know categories of Dirichlet, von Neumann or Robin boundary conditions. My question is whether there is a name for that type of boundary conditions.
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$u(x,0)$ we call an "initial condition". $u(0,t)=f(t)$ we would call a Dirichlet boundary condition. – K.defaoite Oct 25 '22 at 16:29
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Also it's a Neumann boundary condition, not a von Neumann BC. Von Neumann and Neumann were two different mathematicians. – K.defaoite Oct 25 '22 at 16:30
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Thanks K.defaoite for clarification. R.K. – Robert Kragler Oct 25 '22 at 19:37