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Volume 5, Issue 1
C1,α-partial Regularity of Nonlinear Parabolic Systems

Tan Zhong

J. Part. Diff. Eq., 5 (1992), pp. 23-34.

Published online: 1992-05

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  • Abstract
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.
  • Keywords

Nonlineor panbolic system partial regularity natural growth condition

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@Article{JPDE-5-23, author = {Tan Zhong}, title = {C1,α-partial Regularity of Nonlinear Parabolic Systems}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {1}, pages = {23--34}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5726.html} }
TY - JOUR T1 - C1,α-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.
Tan Zhong. (1992). C1,α-partial Regularity of Nonlinear Parabolic Systems. Journal of Partial Differential Equations. 5 (1). 23-34. doi:
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