The well-posedness problem of an anisotropic porous medium equation with a convection term
Abstract The initial boundary value problem of an anisotropic porous medium equation is considered in this paper. The existence of a weak solution is proved by the monotone convergent method. By showing that ∇ u ∈ L ∞ ( 0 , T ; L loc 2 ( Ω ) ) $\nabla u\in L^{\infty}(0,T; L^{2}_{\mathrm{loc}}(\Omega...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02847-4 |