In this note we rst investigate in detail the \heat equation" with the free Lapla- cian replaced by the one with a repulsive point interaction centred at the origin in the case where the initial condition is given by any function proportional to exp(x/2)X(-infnity,0](x).

On some potential applications of the heat equation with a repulsive point interaction to derivative pricing.

Rinaldi F;
2011-01-01

Abstract

In this note we rst investigate in detail the \heat equation" with the free Lapla- cian replaced by the one with a repulsive point interaction centred at the origin in the case where the initial condition is given by any function proportional to exp(x/2)X(-infnity,0](x).
2011
Point interactions
Heat equations
Heat kernel
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14241/1315
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