A Free Boundary Problem in Dermal Drug Delivery


In this paper we study a free{boundary problem in a multicomponent domain. Our study was motivated by the mathematical modelling of dermal and transdermal drug delivery, where the multilayered skin model was considered. At the interface connecting two components the conservation of the ux and Nernst's distribution law hold and it is supposed that in any component there is a positive minimum concentration at which the diiusion front can proceed. The existence of a solution and uniqueness in special cases are shown.

DOI: 10.1137/S0036141001385794

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@article{Filo2002AFB, title={A Free Boundary Problem in Dermal Drug Delivery}, author={J{\'a}n Filo and Volker Pluschke}, journal={SIAM J. Math. Analysis}, year={2002}, volume={33}, pages={1430-1454} }