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

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.

Anahtar Kelimeler:

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

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

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.

Keywords:

p-Laplacian, Spatial behaviour, wave equation, Saint-Venant Principle, Phragmen-Lindelöf Theorem,

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(REFERENCES) TOUPİN, R. A., Saint-Venant principle, Arch Rational Mech Anal, 18, 83-96 (1965). PAYNE, L. E., SCHAEFER, P.W., PhragmenLindelof type results for the biharmonic equation, ZAMP, 45, 414- 432 (1994).