On a parabolic equation related to the p-Laplacian

Huashui Zhan · Boundary Value Problems · 2016

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.

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