Partial Differential Equations - uni-leipzig.de
equation ut = k4u, where 4u = ux1x1 +ux2x2 +ux3x3 and k is a positive constant. The condition u(x,0) = u0 where u0(x) is given, is an initial condition associated to the above heat equation. The condition where h(x,t) is given is a boundary condition for the heat equation. If h(x,t) = g(x), that is, h is independent of t, then one expects that the
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