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:Wu, Z
通讯作者地址:[Wu, Z]Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China.
来源:BOUNDARY VALUE PROBLEMS
出版年:2018
DOI:10.1186/s13661-018-1040-9
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.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85050922359&doi=10.1186%2fs13661-018-1040-9&partnerID=40&md5=7f92f45810bf97925418030b5d70c006
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