An ultraparabolic problem arising from age-dependent population diffusion

Gabriella Di Blasio

doi:10.3934/dcds.2009.25.843

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2009, Volume 25, Issue 3: 843-858. Doi: 10.3934/dcds.2009.25.843

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An ultraparabolic problem arising from age-dependent population diffusion

Gabriella Di Blasio^1,

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

Received: August 2008

Revised: February 2009

Published: September 2009

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Abstract

A class of ultraparabolic equations arising from age-dependent population diffusion is analyzed. For such problems existence and uniqueness results as well as continuous dependence upon the data are proved. The regularity of solutions with respect to space variables is also proved, using the theory of interpolation spaces generated by analytic semigroups.

Keywords:

Ultraparabolic equations Abstract parabolic equations. Age--dependent population diffusion..

Mathematics Subject Classification: Primary: 35K70, 35K90; Secondary: 92D25.

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