This paper studies existence of mild solution to a sharp cut off model for contact driven tumor growth.Analysis is based on application of the Crandall-Liggett theorem for w-quas-contractive semigroups on the Banach s...This paper studies existence of mild solution to a sharp cut off model for contact driven tumor growth.Analysis is based on application of the Crandall-Liggett theorem for w-quas-contractive semigroups on the Banach space L^(1)(Ω).Furthermore,numerical computations are provided which compare the sharp cut off model with the tumor growth model of Perthame,Quiros,and Vazquez[13].展开更多
基金This work was supported in part by National Research Foundation of Korea(NRF-2017R1A2B2010398)The authors thank Profs.L.C.Evans and W.Strauss for their valuable suggestions.
文摘This paper studies existence of mild solution to a sharp cut off model for contact driven tumor growth.Analysis is based on application of the Crandall-Liggett theorem for w-quas-contractive semigroups on the Banach space L^(1)(Ω).Furthermore,numerical computations are provided which compare the sharp cut off model with the tumor growth model of Perthame,Quiros,and Vazquez[13].
