A Quasiconcavity Property for the Heat Equation in a Convex Ring
Author:
Funder
Chinese Government Scholarship
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s40304-020-00207-6.pdf
Reference5 articles.
1. Borell, C.: Brownian motion in a convex ring and quasi-concavity. Commun. Math. Phys. 86(1), 143–147 (1982)
2. Chau, A., Weinkove, B.: Counterexamples to the quasiconcavity for heat equation, preprint arXiv:1802.04770
3. Diaz, J.I., Kawohl, B.: On convexity and starshapedness of level sets for some non-linear elliptic and parabolic problems on convex rings. J. Math. Anal. Appl. 177, 263–286 (1993)
4. Gabriel, R.: A result concerning convex level surface of 3-dimensional harmonic functions. J. Lond. Math. Soc. 32, 286–294 (1957)
5. Lewis, J.L.: Capacitary function in convex rings. Arch. Ration. Mech. Anal. 66, 201–224 (1977)
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