Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains

Author:

Mariano Phanuel,Panzo HugoORCID,Wang Jing

Funder

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference38 articles.

1. Atar, R., Burdzy, K.: On Neumann eigenfunctions in lip domains. J. Amer. Math. Soc. 17(2), 243–265 (2004). MR 2051611

2. Bañuelos, R., Burdzy, K.: On the “hot spots” conjecture of. J. Rauch, J. Funct. Anal. 164(1), 1–33 (1999). MR 1694534

3. Bañuelos, R., Mariano, P., Wang, J.: Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian, arXiv:2003.06867(2020)

4. Bañuelos, R., Pang, M., Pascu, M.: Brownian motion with killing and reflection and the “hot-spots” problem. Probab. Theory Related Fields 130(1), 56–68 (2004). MR 2092873

5. Bass, R.F.: Probabilistic Techniques in Analysis, Probability and Its Applications (New York). Springer-Verlag, New York (1995). MR 1329542

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