Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization

Details Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization

2011-12-23

arxiv.org/abs/1112.5615v1

Mathematics

Analysis of PDEs

Scientific paper

We study strictly hyperbolic partial differential operators of second order with non-smooth coefficients. After modelling them as semiclassical Colombeau equations of log-type we provide a factorization procedure on some time-space-frequency domain. As a result the operator is written as a product of two semiclassical first-order constituents of log-type which approximates the modelled operator microlocally at infinite points. We then present a diagonalization method so that microlocally at infinity the governing equation is equal to a coupled system of two semiclassical first-order strictly hyperbolic pseudodifferential equations. Furthermore we compute the coupling effect. We close with some remarks on the results and future directions.

Affiliated with

Also associated with

No associations

Rating

Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization 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 Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192973