Direct and inverse problems in age--structured population diffusion

Gabriella Di Blasio; Alfredo Lorenzi

doi:10.3934/dcdss.2011.4.539

Article Contents

2011, Volume 4, Issue 3: 539-563. Doi: 10.3934/dcdss.2011.4.539

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Direct and inverse problems in age--structured population diffusion

Gabriella Di Blasio^1, and
Alfredo Lorenzi^2,

1.
Dipartimento di Matematica, Università di Roma "La Sapienza", P.le A. Moro 5, 00185 Roma
2.
Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milano

Received: March 31, 2009

Revised: October 31, 2009

Published: May 2011

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Abstract

An identification problem for a class of ultraparabolic equations with a non local boundary condition, arising from age-dependent population diffusion, is analized. For such problems existence and uniqueness results as well as continuous dependence upon the data are proved. Regularity results with respect to space variables are also proved, using the theory of parabolic equations in $L^1$-spaces.

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Mathematics Subject Classification: Primary: 35R30, 35K70; Secondary: 92D25.

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