Linear non-autonomous Cauchy problems and evolution semigroups

Details Linear non-autonomous Cauchy problems and evolution semigroups Linear non-autonomous Cauchy problems and evolution semigroups

2007-11-02

arxiv.org/abs/0711.0284v1

Physics

Mathematical Physics

Scientific paper

The paper is devoted to the problem of existence of propagators for an abstract linear non-autonomous evolution Cauchy problem of hyperbolic type in separable Banach spaces. The problem is solved using the so-called evolution semigroup approach which reduces the existence problem for propagators to a perturbation problem of semigroup generators. The results are specified to abstract linear non-autonomous evolution equations in Hilbert spaces where the assumption is made that the domains of the quadratic forms associated with the generators are independent of time. Finally, these results are applied to time-dependent Schr\"odinger operators with moving point interactions in 1D.

Affiliated with

Also associated with

No associations

Rating

Linear non-autonomous Cauchy problems and evolution semigroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear non-autonomous Cauchy problems and evolution semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear non-autonomous Cauchy problems and evolution semigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-437504