Symmetrization of Poisson's equation with Neumann Boundary Conditions
Publication Date
2015
Description
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.
Journal
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Volume
14
Issue
4
First Page
1025
Last Page
1063
Department
Mathematics
Link to Published Version
http://annaliscienze.sns.it/index.php?page=Article&id=367
DOI
10.2422/2036-2145.201209_003
Recommended Citation
Langford, Jeffrey J.. "Symmetrization of Poisson's equation with Neumann Boundary Conditions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2015) : 1025-1063.
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