- 96-268 Dell'Antonio G.F., Figari R., Teta A.
- Diffusion of a Particle in Presence of N Moving Point Sources
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.