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- W4377101752 abstract "A fourth-order partial differential equation with boundary degeneracy is considered in two-dimensional space. Both the fourth-order part and the second-order diffusion term have the double degenerate forms, which can yield the corresponding research difficulties in dealing with the degeneracy effects. We transform the parabolic problem into the corresponding semi-discrete steady-state problems when the coefficient is non-degenerate, and the corresponding existence and uniqueness are given by variational method. The energy method is applied to show the existence and uniqueness for the corresponding evolution problem with non-degenerate coefficient. Finally, by establishing the uniform estimates with respect to the regularization parameter, we perform the corresponding asymptotic limits for approximation solutions of the parabolic problem with boundary-degenerate case." @default.
- W4377101752 created "2023-05-20" @default.
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- W4377101752 date "2023-11-01" @default.
- W4377101752 modified "2023-10-17" @default.
- W4377101752 title "Existence of solutions to a doubly degenerate fourth-order partial differential equation with a degenerate diffusion" @default.
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- W4377101752 doi "https://doi.org/10.1016/j.jmaa.2023.127429" @default.
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