$L^r_{ loc}-L^\infty_{ loc}$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations

Simona Fornaro; Maria Sosio; Vincenzo Vespri

doi:10.3934/dcdss.2014.7.737

Article Contents

2014, Volume 7, Issue 4: 737-760. Doi: 10.3934/dcdss.2014.7.737

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$L^r_{ loc}-L^\infty_{ loc}$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations

1.
Università degli Studi di Pavia, Dipartimento di Matematica “F. Casorati”, via Ferrata 1, 27100 Pavia
2.
Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia, via Ferrata, 1, 27100, Pavia
3.
Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, viale Morgagni, 67/A, 50134, Firenze

Received: August 31, 2013

Revised: October 31, 2013

Published: July 2014

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Abstract

In this paper we show some properties regarding the local behaviour of local weak solutions to a class of doubly nonlinear singular parabolic equations.

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Mathematics Subject Classification: Primary: 35B65, 35K67; Secondary: 35K55.

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References

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