一类二阶偏微分方程初值问题粘性解的存在性

THE EXISTENCE OF THE VISCOSITY SOLUTIONS FOR THE INITIAL VALUE PROBLEM OF ONE TYPE OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS

利用非线性算子半群理论，证明了二阶抛物型方程的初值问题的粘性解的存在性，其中u0(x)∈BUC(RN)，F∈C(RN×S*(N))，且F是退化椭圆的．

The proof of the existence of viscosity solution for the initial value problems of one type of second order parabolic partial differential equations is given by using the theory of nonlinear operator semigroups,where U0(x)∈BUC(RN), F∈C(RN×S*(N)) and F is degenerate elliptic.