对角型抛物组解的局部有界性

Local Boundedness for Solutions of Parabolic Systems in Diagonal Form

考虑对角型抛物组（1．1），满足结构条件（1，2）～（1，4）．在1＜p＜2的情形再增加未知解的可积性假定下，证明了解的局部有界性。

Consider a parabolic system in diagonal form of which the nonlinear terms are permitted to be having critical exponent with respect to the unknown soIution and having super critical exponent with respect to the gradient of the solution. The local boundedness is proved to generalized solutions for the case 1＜p＜2 by adding the integrability restriction to the solution.