On a parabolic equation related to the p -Laplacian

Boundary value problems

Huashui Zhan¹ 

[1] School of Applied Mathematics, Xiamen University of Technology, Xiamen, China

关键词: p-Laplacian;    boundary degeneracy;    stability;    35K55;    46E35;    35R35;   

DOI  :  10.1186/s13661-016-0587-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Consider a parabolic equation related to the p-Laplacian. If the diffusion coefficient of the equation is degenerate on the boundary, no matter we can define the trace of the solution on the boundary or not, by choosing a suitable test function, the stability of the solutions always can be established without a boundary condition.

【 授权许可】

CC BY