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- W2330483395 abstract "Let $A$ be a uniformly elliptic operator in divergence form with bounded coefficients.We show that on a bounded domain $Ω ⊂ mathbb{R}^N$ with Lipschitz continuous boundary $∂Ω$, a realization of $Au-beta_1(x,u)$ in $C(bar{Ω})$ with the nonlinear general Wentzell boundary conditions $[Au-beta_1(x,u)]|_{∂Ω}-Delta_Gamma u+partial_nu^au+beta_2(x,u)= 0$ on $∂Ω$ generates a strongly continuous nonlinear semigroup on $C(bar{Ω})$. Here, $partial_nu^au$ is the conormal derivative of $u$, and $beta_1(x,cdot)$ ($x in Ω$), $beta_2(x,cdot)$ ($x in ∂Ω$) are continuous on $mathbb{R}$ satisfying a certain growth condition." @default.
- W2330483395 created "2016-06-24" @default.
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- W2330483395 date "2013-05-01" @default.
- W2330483395 modified "2023-09-23" @default.
- W2330483395 title "Semi linear parabolic equations with nonlinear general Wentzell boundary conditions" @default.
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- W2330483395 doi "https://doi.org/10.3934/dcds.2013.33.5493" @default.
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