A Counterexample to the “Hot Spots” Conjecture on Nested Fractals
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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其它資訊
摘要Although the “hot spots” conjecture was proved to be false on some classical domains, the problem still generates a lot of interests on identifying the domains that the conjecture hold. The question can also be asked on fractal sets that admit Laplacians. It is known that the conjecture holds on the Sierpinski gasket and its variants. In this note, we show surprisingly that the “hot spots” conjecture fails on the hexagasket, a typical nested fractal set. The technique we use is the spectral decimation method of eigenvalues of Laplacian on fractals.
著者Ka-Sing Lau, Xiao-Hui Li, Huo-Jun Ruan
期刊名稱Journal of Fourier Analysis and Applications
出版年份2018
月份2
卷號24
期次1
頁次210 - 225
國際標準期刊號1069-5869
語言美式英語

上次更新時間 2021-30-04 於 01:33