一种肿瘤生长自由边界问题整体解的存在唯一性

摘要

研究了一种肿瘤生长模型中自由边界问题，该肿瘤生长模型异于其它此类模型之处就在于采用了新的方式来描述繁衍细胞和休眠细胞的运动．运用抛物型方程的Lp理论和不动点原理，证明了该模型存在唯一的整体解．%Study a free boundary problem modelling the growth of tumors, the model is different from other tumor models in which it shows the movement of proliferative cells and quiescent cells in a new way.Existence and uniqueness of the global classic solutions ar