On the uniqueness of bounded solutions to singular parabolic problems

Maria Assunta Pozio; Alberto Tesei

doi:10.3934/dcds.2005.13.117

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2005, Volume 13, Issue 1: 117-137. Doi: 10.3934/dcds.2005.13.117

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On the uniqueness of bounded solutions to singular parabolic problems

Maria Assunta Pozio^1, and
Alberto Tesei^1,

1.
Dipartimento di Matematica "G. Castelnuovo", Università di Roma "La Sapienza", P.le A. Moro 5, I-00185 Roma

Received: March 31, 2004

Revised: October 31, 2004

Published: March 2005

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Abstract

We provide criteria for uniqueness or nonuniqueness of bounded solutions for a wide class of second order parabolic problems with singular coefficients.

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Mathematics Subject Classification: 35K65, 35B30.

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