TY - JOUR
T1 - Parabolic power concavity and parabolic boundary value problems
AU - Ishige, Kazuhiro
AU - Salani, Paolo
N1 - Funding Information:
The authors want to warmly thank an anonymous referee for some useful and nice comments and for helping them to improve the bibliographic references. The first author is supported in part by the Grant-in-Aid for Scientific Research (B) (No. 23340035), Japan Society for the Promotion of Science. The second author was supported in part by the GNAMPA Grant 2012 “Problemi sovradeterminati e geometria delle soluzioni per equazioni ellittiche e paraboliche”. Most of the job was done while the first author was visiting the second one in Firenze in March 2012 and then while the second author was visiting the first one in Sendai in November 2012.
PY - 2014/4
Y1 - 2014/4
N2 - This paper is concerned with power concavity properties of the solution to the parabolic boundary value problem (Formula presented.) where Ω is a bounded convex domain in Rn and f is a nonnegative continuous function in Ω × (0, ∞) × R × Rn. We give a sufficient condition for the solution of (P) to be parabolically power concave in Ω̄ × [0, ∞).
AB - This paper is concerned with power concavity properties of the solution to the parabolic boundary value problem (Formula presented.) where Ω is a bounded convex domain in Rn and f is a nonnegative continuous function in Ω × (0, ∞) × R × Rn. We give a sufficient condition for the solution of (P) to be parabolically power concave in Ω̄ × [0, ∞).
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U2 - 10.1007/s00208-013-0991-5
DO - 10.1007/s00208-013-0991-5
M3 - Article
AN - SCOPUS:84897642589
SN - 0025-5831
VL - 358
SP - 1091
EP - 1117
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -