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．
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.
关键词
最大模
先验估计
蜕化抛物组
抛物型方程组
parabolic system
diagonal form
boullded solution
maximum modulus
a priori es timate
