标题：Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems
作者：Ma, Ning; Wu, Zhen
作者机构：[Ma, Ning; Wu, Zhen] Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China.
通讯作者地址：[Wu, Z]Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China.
来源：BOUNDARY VALUE PROBLEMS
关键词：Two-point boundary value problems; Ordinary differential equations;; Quasilinear partial differential equations; Sobolev weak solutions;; Viscosity solutions
摘要：This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of an ordinary differential equation is the unique solution of a first-order quasilinear parabolic partial differential equation in both classical and weak senses.