Suppose that I have a D dimensional body (line, square or cube) and I apply a heat on the D-1 dimensional boundary of the body (point, line or surface). Inside the body the temperature is $u(\vec{p},t)=0$, but on that boundary there is a certain temperature $u(\vec{p},t)=f(\vec{p})$. Is such a system solvable analytically (or even numerically)?
2026-03-24 23:43:19.1774395799
Discontinuities in heat equation solution
253 Views Asked by user411578 https://math.techqa.club/user/user411578/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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