Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure

Authors:

Hui?Jun?Fan author-information" > author-information__contact u-icon-before" > mailto:fanhj@math.pku.edu.cn" title=" fanhj@math.pku.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:

(1) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

Abstract:

This paper discusses the Cauchy problem of the equation

$u_{t} = nabla cdot {left( {{left| nabla right|}_{u} ^{m} left| {^{{p - 2}} } right.nabla _{u} ^{m} } right)} - u^{q}$

(1)

with initial datum a measure. Under the assumption of the parameters, one proves the existence and non-existence of the non-negative generalized solution. Member in Partner Group of MPI for Math. in Leipzig at AMSS. Supported by the Research Fund for Returned Overseas Chinese Scholars 20010107

Keywords:

Cauchy problem Degenerate Existence Measure

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏