一致抛物型方程广义解的弱最大值原理和唯一性定理

The Weak Maximum Principle and Uniqueness Theorem for the Generalized Solutions of Uniformly Parabolic Equations

中文摘要:

      

英文摘要:

      In the theory of linear and quasi-linear, elliptic and parapolic equations of second order, the maximum principle and the uniqueness theorem play an important role. In the case of elliptic equations, the problem has been solved by Trudinger and Gilbarg-Trudinger. Not only the classical maximum principle was extended for the generalized solutions, but also the uniqueness theorem had a new development. We now extend the results for the first boundary value problem of uniformly linear parabolic equations.