A Limit Evolution Problem for Time-Dependent Point Interactions

摘要: Abstract We study the diffusion in R 3 of a particle interacting with N fixed points through point interactions whose strength varies time. Under mild assumptions on time dependence strengths, we prove existence for all times and uniqueness solution, which provide rather explicit expression. also that, under suitable rescaling interaction solution converges, when →∞, to equation regular killing term (potential). use properties local self-adjoint extensions Laplacian results from theory fractional integrals derivatives.