TY - JOUR
T1 - <em>C</em><sup>1,α</sup>-partial Regularity of Nonlinear Parabolic Systems
AU - Tan Zhong
JO - Journal of Partial Differential Equations
VL - 1
SP - 23
EP - 34
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5726.html
KW - Nonlineor panbolic system
KW - partial regularity
KW - natural growth condition
AB -  We prove C^{1,α}-partial regularity of weak solution of nonlinear parabolic systems u^i_t - D_αA^α_i(x, t, u, Du) = B_i(x, t, u, Du), \quad i=1,…, N under the main assumption that A^α_i and B_i, satisfy the natural growth condition.