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DOUBLY NONLINEAR PARABOLIC EQUATIONS RELATED TO THE LERAY-LIONS OPERATORS: TIME-DISCRETIZATION

  • Shin, Ki-Yeon;Kang, Su-Jin
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.403-413
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    • 2010
  • In this paper, we consider a doubly nonlinear parabolic equation related to the Leray-Lions operator with Dirichlet boundary condition and initial data given. By exploiting a suitable implicit time-discretization technique, we obtain the existence of global strong solution.