The asymptotic behavior of the solutions of the Cauchy problem generated by -accretive operators |
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Authors: | Jesús García-Falset |
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Institution: | Departament d'Anàlisi Matemàtica, Universitat de València, Dr. Moliner 50, 46100 Burjassot, València, Spain |
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Abstract: | The purpose of this paper is to study the asymptotic behavior of the solutions of certain type of differential inclusions posed in Banach spaces. In particular, we obtain the abstract result on the asymptotic behavior of the solution of the boundary value problem where Ω is a bounded open domain in with smooth boundary ∂Ω, f(t,x) is a given L1-function on ]0,∞×Ω, γ1 and 1p<∞. Δp represents the p-Laplacian operator, is the associated Neumann boundary operator and β a maximal monotone graph in with 0β(0). |
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Keywords: | Accretive operator Asymptotic behavior Nonexpansive semigroup Stationary point |
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