关于非线性抛物型方程组的两类边值问题(英文)

ON TWO KINDS OF BOUNDARY VALUE PROBLEM FOR NONLINEAR PARABOLIC SYSTEM OF EQUATIONS

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The condition of boundary value problems is first given. Then some properties of parabolic operators have been discussed,and the priori estimates of solutions for the Dirichlet problem and Neumann problem are given. Finally the solvability of two kinds of boundary value problems by using the method of parameter extension and Schauder fixed point theorem are proved.