Energy decay for the wave equation with a nonlinear weak dissipation

Mitsuhiro Nakao; Yoshikazu Giga

Energy decay for the wave equation with a nonlinear weak dissipation

Mitsuhiro Nakao^*, Yoshikazu Giga

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(u_t), where p(v) is a function like. Since our dissipation is weak as |u_t| tends to 1 we treat strong solutions rather than usual energy finite solutions.

Original language	English
Pages (from-to)	681-688
Number of pages	8
Journal	Differential and Integral Equations
Volume	8
Issue number	3
Publication status	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "Energy decay for the wave equation with a nonlinear weak dissipation",

abstract = "We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(ut), where p(v) is a function like. Since our dissipation is weak as |ut| tends to 1 we treat strong solutions rather than usual energy finite solutions.",

author = "Mitsuhiro Nakao and Yoshikazu Giga",

year = "1995",

language = "English",

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journal = "Differential and Integral Equations",

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T1 - Energy decay for the wave equation with a nonlinear weak dissipation

AU - Nakao, Mitsuhiro

AU - Giga, Yoshikazu

PY - 1995

Y1 - 1995

N2 - We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(ut), where p(v) is a function like. Since our dissipation is weak as |ut| tends to 1 we treat strong solutions rather than usual energy finite solutions.

AB - We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(ut), where p(v) is a function like. Since our dissipation is weak as |ut| tends to 1 we treat strong solutions rather than usual energy finite solutions.

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AN - SCOPUS:84972525392

SN - 0893-4983

VL - 8

SP - 681

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JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 3

ER -

Energy decay for the wave equation with a nonlinear weak dissipation

Abstract

ASJC Scopus subject areas

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