A randomized weighted p-Laplacian evolution equation with Neumann\n boundary conditions

2017/10/13 by Alexander Nerlich, Nerlich, Alexander
Computer Science · Mathematics · #35A01 #35A02 #35B40 #35R60 #47J35 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1710.04892

openalex publication_date 2017/10/13 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to show that the randomized weighted\np-Laplacian evolution equation given by \
labeleveqrand\n
begincases U
^prime(t)(
omega) =
textDiv
left( g(
omega)\n|DU(t)(
omega)|^p-2DU(t)(
omega)
right)
text on S,\ng(
omega)|DU(t)(
omega)|^p-2DU(t)(
omega)
cdot
eta=0
text on
partial S,\nU(0)(
omega)=u(
omega),
endcases for \ℙ-a.e. \ω\n\∈ \Ω and a.e. t \∈ (0,\∞) admits a unique strong solution and to\ndetermine asymptotic properties of this solution.\n

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