Jp. Chancelier et al., FOKKER-PLANCK EQUATION FOR THE DENSITY OF A DIFFUSION PROCESS IN A REGULAR OPEN SET, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(9), 1995, pp. 1251-1256
To give physical meaning to the boundary conditions of parabolic parti
al differential equation, we introduce a diffusion process in some ope
n set, with different boundary conditions (elastic or non-elastic refl
ection, stopping) and we give the equation satisfied by the density.