A Remark on Recent Lower Bounds for Nodal Sets

Details A Remark on Recent Lower Bounds for Nodal Sets A Remark on Recent Lower Bounds for Nodal Sets

2010-10-21

arxiv.org/abs/1010.4579v2

Comm. Partial Differential Equations 36 (2011), no. 12, 2208--2212

Mathematics

Analysis of PDEs

4 pages; In section 2 an explanation of the basic iteration idea is added; acknowledgments added

Scientific paper

10.1080/03605302.2011.558556

Recently, Sogge-Zelditch and Colding-Minicozzi gave new power law lower bounds on the size of the nodal sets of eigenfunctions. The purpose of this short note is to point out a third method to obtain a power law lower bound on the volume of the nodal sets. Our method is based on the Donnelly-Fefferman growth bound for eigenfunctions and a growth vs. volume relation we proved in a previous work.

Affiliated with

Also associated with

No associations

Rating

A Remark on Recent Lower Bounds for Nodal Sets 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 A Remark on Recent Lower Bounds for Nodal Sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Remark on Recent Lower Bounds for Nodal Sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658854