Limiting absorption principle for the dissipative Helmholtz equation

Details Limiting absorption principle for the dissipative Helmholtz equation Limiting absorption principle for the dissipative Helmholtz equation

2009-05-04

arxiv.org/abs/0905.0355v2

Mathematics

Analysis of PDEs

Scientific paper

Adapting Mourre's commutator method to the dissipative setting, we prove a
limiting absorption principle for a class of abstract dissipative operators. A
consequence is the resolvent estimates for the high frequency Helmholtz
equation when trapped trajectories meet the set where the imaginary part of the
potential is non-zero. We also give the resolvent estimates in Besov spaces.

Affiliated with

Also associated with

No associations

Rating

Limiting absorption principle for the dissipative Helmholtz equation 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 Limiting absorption principle for the dissipative Helmholtz equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limiting absorption principle for the dissipative Helmholtz equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199394