The nonnegative weak solution of a degenerate parabolic equation with variable exponent growth order
Abstract A degenerate parabolic equation of the form ( | v | β − 1 v ) t = div ( b ( x , t ) | ∇ v | p ( x , t ) − 2 ∇ v ) + ∇ g → ⋅ ∇ γ → ( v ) $$\bigl( \vert v \vert ^{\beta-1}v\bigr)_{t}= \operatorname{div} \bigl(b(x,t) \vert \nabla v \vert ^{p(x,t)-2}\nabla v \bigr)+\nabla\vec{g}\cdot\nabla\vec{...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01364-x |