The hot spots problem in planar domains with one hole

Burdzy, Krzysztof

Duke Math. J., Tome 126 (2005) no. 1, p. 481-502 / Harvested from Project Euclid

Résumé

There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.

Publié le : 2005-09-15
Classification: 35J05, 60H30

@article{1129729972,
     author = {Burdzy, Krzysztof},
     title = {The hot spots problem in planar domains with one hole},
     journal = {Duke Math. J.},
     volume = {126},
     number = {1},
     year = {2005},
     pages = { 481-502},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1129729972}
}

Burdzy, Krzysztof. The hot spots problem in planar domains with one hole. Duke Math. J., Tome 126 (2005) no. 1, pp.  481-502. http://gdmltest.u-ga.fr/item/1129729972/