Let Omega be a bounded subset of R^n with a C^{2,epsilon}- boundary partialOmega, alpha in C^2(ar{Omega}) with alpha>0 in arOmega and Athe operator defined by Au:= abla(alpha abla u with thenonlinear general Wentzell boundary condition Au+brac{partial u}{partial n}in ceta(.,u) on partialOmega, where n(x) is the unit outer normal at x,b,c are real-valued functions in C^1(partialOmega) and eta(x,.) is a maximal monotone graph. Then, under additional assumptions on b,c,eta we prove the existence of a contraction semigroup generated by the closure of A onsuitable L^p spaces, 1le p

The heat equation with nonlinear general Wentzell boundary condition

ROMANELLI, Silvia
2006

Abstract

Let Omega be a bounded subset of R^n with a C^{2,epsilon}- boundary partialOmega, alpha in C^2(ar{Omega}) with alpha>0 in arOmega and Athe operator defined by Au:= abla(alpha abla u with thenonlinear general Wentzell boundary condition Au+brac{partial u}{partial n}in ceta(.,u) on partialOmega, where n(x) is the unit outer normal at x,b,c are real-valued functions in C^1(partialOmega) and eta(x,.) is a maximal monotone graph. Then, under additional assumptions on b,c,eta we prove the existence of a contraction semigroup generated by the closure of A onsuitable L^p spaces, 1le p
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/14842
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