HIGHLIGHTS
SUMMARY
Many problems in physics, mechanics, and biology are described by degenerate parabolic equations. If a(x) is a nonnegative function satisfying a(x) > 0, x ∈ a(x)=0, x ∈ ∂, and α(x) ≡ α and p(x)=p are constants, d(x, t, u)=0, then the stability of weak solutions to equation was studied recently. Equation is a simple version of the following equation: vt=div a(x, t, v)|∇v|p(x,t)-2 ∇v + f (x, t, v, ∇v), (x, t) ∈ QT, which comes from many applied problems such as the electrorheological fluid theory . . .
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