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

Ning Ma, Zhen Wu

Type: Article

Publication Date: 2018-07-31

Citations: 1

DOI: https://doi.org/10.1186/s13661-018-1040-9

Abstract

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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