We introduce the notion of α-parabolic quasi-concavity for functions of space and time, which extends the usual notion of quasi-concavity and the notion of parabolic quasi-cocavity introduced in . Then we investigate the α-parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum. The results here obtained are generalizations of some of the results of .
|Number of pages||14|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|Publication status||Published - 2011 Aug|
- Parabolic equations
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics