<em>C</em><sup>1,α</sup>-partial Regularity of Nonlinear Parabolic Systems

<em>C</em><sup>1,α</sup>-partial Regularity of Nonlinear Parabolic Systems

Year:    1992

Journal of Partial Differential Equations, Vol. 5 (1992), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JPDE-5726

Journal of Partial Differential Equations, Vol. 5 (1992), Iss. 1 : pp. 23–34

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Nonlineor panbolic system