摘要
本文研究了拟线性抛物方程组在通常的结构性假设和条件之下,证明了它的Lipschitz连续弱解的梯度的部分Hlder正则性。
The present paper covers the regularity of the gradient of Lipschitz continuous solutions of quasilinear parabolic systems of the typeu_t^k - D_j(a^(ij)(x,t,u,Du)D_iu^k) = f^k(x,t,u,Du), k = 1, 2,…, N, c^(1, a)-Paritial regularity is shown to hold under the general structural assumption and condition- D_j(a^(ij)(x,t,u,Du)) = h^i ∈L~∞(Q,R^N).
出处
《吉林大学自然科学学报》
CAS
CSCD
1992年第1期51-55,共5页
Acta Scientiarum Naturalium Universitatis Jilinensis
基金
国家自然科学基金
关键词
拟线性抛物组
L-连续弱解
正则性
quasilinear parabolic systems
weak solution of Lipschitz continuous
Holder partial regularity
