Regularization for fractional integral. Application to nonlinear equations with singularities

Details Regularization for fractional integral. Application to nonlinear equations with singularities Regularization for fractional integral. Application to nonlinear equations with singularities

2003-11-26

arxiv.org/abs/math/0311464v1

Mathematics

Analysis of PDEs

Scientific paper

We give the regularization for fractional integral by delta sequence and apply it to obtain existence-uniqueness theorems in Colombeau algebras for nonlinear equations with singularities: nonlinear system of integral equations with polar kernel and nonlinear parabolic equations (of ordinary type, with nonlinear conservative term and with Schr\"odinger kernel) with strongly singular initial data and non-Lipschitz nonlinearities. In a case of nonlinear parabolic equations we do in fact regularization of heat semigroup with delta sequence with respect to the time variable $t.$ We do the same for linear Schr\"odinger equation.

Affiliated with

Also associated with

No associations

Rating

Regularization for fractional integral. Application to nonlinear equations with singularities 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 Regularization for fractional integral. Application to nonlinear equations with singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularization for fractional integral. Application to nonlinear equations with singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122530