# American Institute of Mathematical Sciences

September  2009, 25(3): 843-858. doi: 10.3934/dcds.2009.25.843

## An ultraparabolic problem arising from age-dependent population diffusion

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

Received  August 2008 Revised  February 2009 Published  August 2009

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.
Citation: Gabriella Di Blasio. An ultraparabolic problem arising from age-dependent population diffusion. Discrete & Continuous Dynamical Systems, 2009, 25 (3) : 843-858. doi: 10.3934/dcds.2009.25.843
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