Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663351 | Acta Mathematica Scientia | 2016 | 13 Pages |
Abstract
One parabolic p-Laplacian-like differential equation with mixed boundaries is studied in this paper, where the item ∂u∂t in the corresponding studies is replaced by ∂u∂t, which makes it more general. The sufficient condition of the existence and uniqueness of non-trivial solution in L2 (0, T; L2 (Ω)) is presented by employing the techniques of splitting the boundary problems into operator equation. Compared to the corresponding work, the restrictions imposed on the equation are weaken and the proof technique is simplified. It can be regarded as the extension and complement of the previous work.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Li WEI, Rui CHEN, Ravi P. AGARWAL, Patricia YJ WONG,