Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory

Details Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory

2007-01-12

arxiv.org/abs/math/0701344v2

Mathematics

Analysis of PDEs

Scientific paper

In this article we introduce the notion of fundamental solution in the Colombeau context as an element of the dual $\LL(\Gc(\R^n),\wt{\C})$. After having proved the existence of a fundamental solution for a large class of partial differential operators with constant Colombeau coefficients, we investigate the relationships between fundamental solutions in $\LL(\Gc(\R^n),\wt{\C})$, Colombeau solvability and $\G$- and $\Ginf$-hypoellipticity respectively.

Affiliated with

Also associated with

No associations

Rating

Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory 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 Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-218459