Dergiler / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2013 / Cilt: 17 - Sayı: 2 #90903

p-Laplasyen terim içeren bir dalga denklemi için Phragmen-Lindelöf tipi kestirimler

For a wave equation involving p-Laplacian term Phragmen-Lindelöf type estimates

Sayfa
267–270
DOI
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Özet

Behaviours of the solutions to initial-boundary value problems in terms of spatial or time variables are investigateted by the teories such as Phragmen-Lindölef Theorem and Saint-Venant Principle. In this work, behaviours of solutions to a hyperbolic equations involving p-Laplacian term in terms of spatial variable is studied. It is showed that how the solutions decay to zero depanding on the constant p.

Abstract

Behaviours of the solutions to initial-boundary value problems in terms of spatial or time variables are investigated by the theories such as Phragmen-Lindelof Theorem and Saint-Venant Principle. In this work, behaviours of solutions to a hyperbolic equation involving p-Laplacian term in terms of spatial variable is studied. It is showed that how the solutions decay to zero depending on the constant p.

Anahtar kelimeler: p-Laplasyen, uzaysal davranış, dalge denklemi, Saint-Venant Prensibi, Phragmen-Lindölef Teoremi