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Global stability of solutions to a free boundary problem of ductal carcinoma in situ
Institution:1. Department of Biomedical Engineering, Yale University, 55 Prospect Street, MEC 414, New Haven, CT 06511, USA;2. Department of Neurosurgery, Yale University, 333 Cedar Street, FMB 410, New Haven, CT 06520, USA;1. Laboratory of Theoretical Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, 1, Academician Zuev Square, 634055 Tomsk, Russia;2. National Research Tomsk State University, 36, Lenin av., 634050 Tomsk, Russia;1. Russian State Hydrometeorological University, Saint-Petersburg, Russia;2. University of Al-Mustansyria, Baghdad, Iraq;1. Department of Water and Environmental Sciences, Technological Institute of Sonora, 5 de Febrero 818 Sur, Cd. Obregón, Sonora, 85130, Mexico;2. Sustainable Futures Institute, Michigan Technological University, 1400 Townsend Dr., Houghton, MI, 49931, USA;1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;2. Department of Mathematics, Sun Yat-sen University, Guangzhou, Guangdong 510275, China;3. Faculty of Information Technology, Macau University of Science and Technology, Macau, China
Abstract:In the paper we present some remarks on the global stability of steady state solutions to a free boundary model studied by Xu (2004) and also prove some new results of global stability of steady state solutions to the model.
Keywords:Mathematical model  Ductal carcinoma in situ  Free boundary problem  Global stability
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