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- W2024700524 abstract "Abstract The existence and uniqueness of weak solutions are studied to the initial Dirichlet problem of the equation u t = div ( | ∇ u | p ( x ) − 2 ∇ u ) + f ( x , t , u ) , with inf p ( x ) > 2 . The problems describe the motion of generalized Newtonian fluids which were studied by some other authors in which the exponent p was required to satisfy a logarithmic Holder continuity condition. The authors in this paper use a difference scheme to transform the parabolic problem to a sequence of elliptic problems and then obtain the existence of solutions with less constraint to p ( x ) . The uniqueness is also proved." @default.
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- W2024700524 date "2012-06-01" @default.
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- W2024700524 title "Existence of solutions to an initial Dirichlet problem of evolutional ( pleft(right.xleft.right) )-Laplace equations" @default.
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- W2024700524 doi "https://doi.org/10.1016/j.anihpc.2012.01.001" @default.
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