Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

被引：0
作者：
Ning Ma
Zhen Wu
机构：
[1] Shandong University,School of Mathematics
来源：
Boundary Value Problems | / 2018卷
关键词：
Two-point boundary value problems; Ordinary differential equations; Quasilinear partial differential equations; Sobolev weak solutions; Viscosity solutions;
D O I：
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学科分类号：
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.
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