A degenerate diffusion problem with dynamical boundary conditions: Diffusion problem with dynamical boundary conditions

Noureddine Igbida; Mokhtar Kirane

doi:10.1007/s002080100308

A degenerate diffusion problem with dynamical boundary conditions: Diffusion problem with dynamical boundary conditions

Noureddine Igbida, Mokhtar Kirane

Mathematics

LAMFA Université Picardie Jules Verne

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The purpose of this paper is to study the existence, the uniqueness and the limit in L¹ (Ω), as t → ∞, of solutions of general initial-boundary-value problems of the form ∂_tu - Δw = 0 and u ∈ β(w) in a bounded domain Ω with dynamical boundary conditions of the form ∂_tρ(w) + ∂_nw =0.

Original language	British English
Pages (from-to)	377-396
Number of pages	20
Journal	Mathematische Annalen
Volume	323
Issue number	2
DOIs	https://doi.org/10.1007/s002080100308
State	Published - 2002

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title = "A degenerate diffusion problem with dynamical boundary conditions: Diffusion problem with dynamical boundary conditions",

abstract = "The purpose of this paper is to study the existence, the uniqueness and the limit in L1 (Ω), as t → ∞, of solutions of general initial-boundary-value problems of the form ∂tu - Δw = 0 and u ∈ β(w) in a bounded domain Ω with dynamical boundary conditions of the form ∂tρ(w) + ∂nw =0.",

author = "Noureddine Igbida and Mokhtar Kirane",

year = "2002",

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AU - Igbida, Noureddine

AU - Kirane, Mokhtar

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N2 - The purpose of this paper is to study the existence, the uniqueness and the limit in L1 (Ω), as t → ∞, of solutions of general initial-boundary-value problems of the form ∂tu - Δw = 0 and u ∈ β(w) in a bounded domain Ω with dynamical boundary conditions of the form ∂tρ(w) + ∂nw =0.

AB - The purpose of this paper is to study the existence, the uniqueness and the limit in L1 (Ω), as t → ∞, of solutions of general initial-boundary-value problems of the form ∂tu - Δw = 0 and u ∈ β(w) in a bounded domain Ω with dynamical boundary conditions of the form ∂tρ(w) + ∂nw =0.

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VL - 323

SP - 377

EP - 396

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 2

ER -

A degenerate diffusion problem with dynamical boundary conditions: Diffusion problem with dynamical boundary conditions

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