Well-posedness for a model of prion proliferation dynamics |
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| Authors: | Philippe Laurençot Christoph Walker |
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| Affiliation: | (1) Mathématiques pour l’Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier - Toulouse 3, 118 route de Narbonne, F-31062 Toulouse cedex 9, France;(2) Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, USA |
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| Abstract: | ![]()
The model considered consists of an ordinary differential equation coupled with an integro-partial differential equation and describes the interaction between non-infectious and infectious prion proteins. We provide sufficient conditions for uniqueness of monomer-preserving weak solutions. In addition, we also prove existence of weak solutions under rather general assumptions on the involved degradation rates. |
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| Keywords: | 35F25 45K05 92B05 |
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