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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 651 - 658 (8page)
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In a bounded domain, we consideru_{tt} -\Delta u +\int_0^t g(t-\tau)\Delta u d\tau +u_t=|u|^p u,where $p >0$ and $g$ is a nonnegative and decaying function. We establisha general decay result which is not necessarily of exponential or polynomial type.
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참고문헌 (8)
참고문헌 신청
S. Berrimi / 2004 / Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping / Electron. J. Differential Equations 88:1~10
S. Berrimi / 2006 / Existence and decay of solutions of a viscoelastic equation with a nonlinear source / Nonl. Anal. 64:2314~2331
M.M. Cavalcanti / 2002 / Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping / Electron. J. Differential Equations 44:1~14
M.M. Cavalcanti / 2003 / Frictional versus viscoelastic damping in a semi-linear wave equation / SIAM J. Control Optim. 42(4):1310~1324
W.J. Liu / 2009 / General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms / J. Math. Phys. 50(11):113506
S. Berrimi / 2006 / Existence and decay of solutions of a viscoelastic equation with a nonlinear source / Nonl. Anal. 64:2314~2331
M.M. Cavalcanti / 2002 / Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping / Electron. J. Differential Equations 44:1~14
M.M. Cavalcanti / 2003 / Frictional versus viscoelastic damping in a semi-linear wave equation / SIAM J. Control Optim. 42(4):1310~1324
W.J. Liu / 2009 / General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms / J. Math. Phys. 50(11):113506
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