partial-differential-equations

The heat kernel as a time-dependent Green's function

taught

Recognize the whole-line heat kernel, shifted to fire at a given point and instant, as the heat equation's own causal, time-dependent Green's function.

Taught in

The heat kernel as a time-dependent Green's function
Partial Differential Equations

Requires

heat-kernel-construction required
greens-function-dirichlet-revisited required

Required by

Duhamel's principle, unified via Green's functions required
The Dirac delta as a source term required

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