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.
2011
vol. 4
851
864
K. Ishige; P. Salani
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/405896
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