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具非局部源和非局部边界条件抛物方程组解的性质

王文海

中北大学学报(自然科学版)2012,Vol.33Issue(4):372-375,4.
中北大学学报(自然科学版)2012,Vol.33Issue(4):372-375,4.DOI:10.3969/j.issn.1673-3193.2012.04.005

具非局部源和非局部边界条件抛物方程组解的性质

Properties of Solution to a Parabolic System with Nonlocal Sources and Nonlocal Boundary Conditions

王文海1

作者信息

  • 1. 西安工业大学理学院,陕西西安710032
  • 折叠

摘要

Abstract

The properties of solutions to a degenerate parabolic system with nonlocal sources, which subject to nonlocal Dirichlet boundary conditions, were considered.By using comparison principle and the upper-lower solution method, the conditions for the global existence and the finite blow-up of solution to the system are established.The solution of system has different properties when the exponential satisfied different conditions.

关键词

抛物方程组/非局部源项/非局部边界条件/整体存在/爆破

Key words

parabolic system/ nonlocal sources/ nonlocal boundary conditions/ global existence/ blowup

分类

数理科学

引用本文复制引用

王文海..具非局部源和非局部边界条件抛物方程组解的性质[J].中北大学学报(自然科学版),2012,33(4):372-375,4.

中北大学学报(自然科学版)

OA北大核心CSTPCD

1673-3193

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