Generalized flows and singular ODEs on differentiable manifolds

Details Generalized flows and singular ODEs on differentiable manifolds Generalized flows and singular ODEs on differentiable manifolds

2003-04-09

arxiv.org/abs/math/0304131v1

Acta Appl. Math, 80, 221-241, (2004).

Mathematics

Functional Analysis

17 pages, LaTeX

Scientific paper

Based on the concept of manifold valued generalized functions we initiate a study of nonlinear ordinary differential equations with singular (in particular: distributional) right hand sides in a global setting. After establishing several existence and uniqueness results for solutions of such equations and flows of singular vector fields we compare the solution concept employed here with the purely distributional setting. Finally, we derive criteria securing that a sequence of smooth flows corresponding to a regularization of a given singular vector field converges to a measurable limiting flow.

Affiliated with

Also associated with

No associations

Rating

Generalized flows and singular ODEs on differentiable manifolds 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 Generalized flows and singular ODEs on differentiable manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized flows and singular ODEs on differentiable manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559443