C1 Measure Respecting Maps Preserve BV Iff they have Bounded
Ferruccio Colombini, Tao Luo and Jeffrey Rauch
If Ωj ∈ Rd are bounded open subsets and
Φ ∈ C1(Ω1; Ω2) respects
Lebesgue measure and satisfies F o Φ ∈ BV(Ω1) for all
F ∈ BV(Ω2) then Φ is uniformly Lipshitzean.
- Available as PDF (136 Kbytes).
- Ferruccio Colombini,
- Tao Luo,
- Jeffrey Rauch,
- Publishing information:
- Submitted by:
April 21 2004.
Preprint Server Homepage
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <firstname.lastname@example.org>
Last modified: Thu Apr 22 09:55:06 MEST 2004