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一类蜕化抛物组解最大模的估计
引用本文:叶瑞芬. 一类蜕化抛物组解最大模的估计[J]. 南都学坛, 1996, 0(3)
作者姓名:叶瑞芬
作者单位:广州师范学院数学系
摘    要:该文考虑一类对角型蜕化抛物组,允许主部系数矩阵的特征值正比例于未知解的模的适当正幂次,也正比例于未知解梯度的模的某个正幂次.对右端项有某种特殊结构的情形得到了解最大模的先验估计.

关 键 词:对角型;抛物组;有界解;最大模;先验估计

Estimates on Maximum Modulus of Solutions of a Degenerate Parabolic System
Ye Rui- fen. Estimates on Maximum Modulus of Solutions of a Degenerate Parabolic System[J]. Academic forum of nandu, 1996, 0(3)
Authors:Ye Rui- fen
Affiliation:Ye Rui- fen
Abstract:Consider a degenerate parabolic system in diaconal form. It is permitted that the characteristic values of the leading coefficient matrix are propotional to a proper positive power of the modulus of the unknown solution and propotional to some positive power of the modulus of the gragient of the solution as well. The a priori estimates are established to the maximum modulus of solutions for the right hand side term having some special structure.
Keywords:parabolic system  diagonal form  boullded solution  maximum modulus  a priori es timate
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