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Regularity of Solutions of Certain Parabolic System with Nonstandard Growth Condition

Regularity of Solutions of Certain Parabolic System with Nonstandard Growth Condition
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摘要 By the use of Moser iteration and Campanato space estimate,the L~∞ and C~α regularity gradient of solutions of nonlinear parabolic system (u^2)/(t)-▽(g|▽u|▽u^2)=0 with nonstandard growth conditions are obtained under the natural structure constraints. By the use of Moser iteration and Campanato space estimate,the L~∞ and C~α regularity gradient of solutions of nonlinear parabolic system (u^2)/(t)-▽(g|▽u|▽u^2)=0 with nonstandard growth conditions are obtained under the natural structure constraints.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1998年第2期145-160,共16页 数学学报(英文版)
基金 This work was supported by NNSF of China under Grant 39570223 and Grant 19675005
关键词 Nonstandard growth condition Degenerate and singular Equations Moser iteration Campanato space estimate Nonstandard growth condition Degenerate and singular Equations Moser iteration Campanato space estimate
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