Symmetrization of Poisson's equation with Neumann boundary conditions

Autor:	Jeffrey J. Langford
Rok vydání:	2015
Předmět:	Mathematics (miscellaneous) Conjecture Mathematical analysis Neumann boundary condition Regular polygon Comparison results Symmetrization SPHERES Poisson's equation Theoretical Computer Science Mathematics
Zdroj:	ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :1025-1063
ISSN:	2036-2145 0391-173X
Popis:	In this paper, we compare the solutions of two PDEs with Neumann boundary conditions, one with given initial data and one with cap symmetrized data. We show that the solution with cap symmetrized data is itself cap symmetrized and exhibits larger convex means. As corollaries, we prove comparison results on spheres and hemispheres, and prove a conjecture of B. Kawohl.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::48c286a6d1846ccac2cbf2b9d332df99 https://doi.org/10.2422/2036-2145.201209_003 Zobrazit plný text záznamu