Local Boundedness of Weak Solutions for Nonlinear Parabolic Problem with p(x)-Growth

نویسندگان

  • Yongqiang Fu
  • Ning Pan
  • Shusen Ding
چکیده

The study of variational problems with nonstandard growth conditions is an interesting topic in recent years. p x -growth problems can be regarded as a kind of nonstandard growth problems and they appear in nonlinear elastic, electrorheological fluids and other physics phenomena. Many results have been obtained on this kind of problems, for example 1–9 . Let Q be Ω × 0, T , where T > 0 is given. In 8 , the authors studied the following equation:

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تاریخ انتشار 2010