 9644 Dell'Antonio G.F., Figari R., Teta A.
 A Limit Evolution Problem for TimeDependent Point Interactions
(59K, LaTeX)
Feb 19, 96

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We study the diffusion in $R^{3}$ of a particle interacting with N
fixed points through point interactions whose strength varies in time.
Under mild assumptions on the timedependence of the strengths we prove
existence for all times and uniqueness of the solution, for which we
provide a rather explicit expression.
We also prove that, under a suitable rescaling of the interaction
strengths, the solution converges, when N goes to infinity, to the
solution of a diffusion equation with a regular killing term (potential).
We use properties of the local selfadjoint extensions of the laplacian
and results from the theory of fractional integrals and derivatives.
 Files:
9644.tex