We introduce the notion of -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 a previous paper. Then we investigate the -parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum.
On a new kind of convexity for solutions of parabolic problems / K. Ishige; P. Salani. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - vol. 4:(2011), pp. 851-864. [10.3934/dcdss.2011.4.851]
On a new kind of convexity for solutions of parabolic problems
SALANI, PAOLO
2011
Abstract
We introduce the notion of -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 a previous paper. Then we investigate the -parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum.File in questo prodotto:
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