Uniform bound on the eigenfunctions of the Laplacian - MathOverflow most recent 30 from http://mathoverflow.net2013-05-20T15:57:33Zhttp://mathoverflow.net/feeds/question/118692http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/118692/uniform-bound-on-the-eigenfunctions-of-the-laplacianUniform bound on the eigenfunctions of the LaplacianJohn Zheng2013-01-12T01:27:18Z2013-01-12T01:27:18Z
<p>Hi all,</p>
<p>Is it possibly to have $L_\infty$ bounds on the eigenfunctions of the Laplacian operator on bounded regular domains with Dirichlet condition? I found several papers by Sogge but these are pretty general and apply to Laplacian-Beltrami operator on manifolds. Their paper has bounds that are possibly too loose for my application.</p>
<p>Thanks,
John</p>