【摘要】 研究一类非散度型退化抛物方程Cauchy问题粘性解的性质.其中的粘性解是指用粘性消失法得到的分布意义下的弱解,是惟一的.利用研究弱解的技巧,通过建立粘性解的一系列估计,证明了粘性解关于某个参数(含在方程中)的连续性.更多还原

【Abstract】 The property of the viscosity solutions of the Cauchy problem of a degenerate parabolic equation not in divergence form is studied. The viscosity solution means a weak solution in the distribution sense obtained by the vanishing viscosity method. Using some techiques of studying weak solutions and establishing some estimates on the viscosity solution, we prove the continuity of the viscosity solution with respect to a parameter contained in the equations.更多还原