96-268 Dell'Antonio G.F., Figari R., Teta A.

Diffusion of a Particle in Presence of N Moving Point Sources (24K, LateX) Jun 15, 96

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Abstract. We analyze the diffusion of a particle in d = 3 subject to N point interactions moving on preassigned non intersecting paths. For any regular motion of the sources, we give an existence and uniqueness result for the corresponding parabolic evolution equation, together with a rather explicit representation of the solution. We exemplify our approach for N=1 in the case of uniform motion on a straight line, exhibiting the complete solution of the problem.

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