Ultraparabolic equations with  nonlocal delayed  boundary conditions

Gabriella Di Blasio

doi:10.3934/dcds.2013.33.4945

Article Contents

2013, Volume 33, Issue 11&12: 4945-4965. Doi: 10.3934/dcds.2013.33.4945

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Ultraparabolic equations with nonlocal delayed boundary conditions

Gabriella Di Blasio^1,

1.
Dipartimento di Matematica, Sapienza Università di Roma, P.le A. Moro 5, Roma, 00185

Received: August 31, 2011

Revised: January 31, 2012

Published: October 2013

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Abstract

A class of ultraparabolic equations with delay, arising from age--structured population diffusion, is analyzed. For such equations well--posedness as well as regularity results with respect to the space variables are proved.

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Mathematics Subject Classification: Primary: 35K70, 34K30; Secondary: 92D25.

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