@article{25b31f2c7e754a30a568c26c1b5ee4b7,
title = "Power concavity in weakly coupled elliptic and parabolic systems",
abstract = "In this paper we start the investigation of concavity properties of solutions to systems of PDE's in convex domains. In particular we prove that suitable powers of solutions to some weakly coupled elliptic and parabolic systems are concave.",
keywords = "Elliptic and parabolic systems, Power concavity, Viscosity solutions",
author = "Kazuhiro Ishige and Kazushige Nakagawa and Paolo Salani",
note = "Funding Information: The first author has been partially supported by the Grant-in-Aid for Scientific Research (B) (No. 23340035 ), from Japan Society for the Promotion of Science . The third author has been partially supported by the INdAM - GNAMPA Project 2015 “Aspetti geometrici e analitici di equazioni alle derivate parziali e diseguaglianze funzionali” and by the FIR 2013 project “Geometric and qualitative aspects of PDE{\textquoteright}s”. Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.",
year = "2016",
month = jan,
doi = "10.1016/j.na.2015.08.002",
language = "English",
volume = "131",
pages = "81--97",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Limited",
}