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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,433 - 1,448 (16page)
- DOI
- 10.4134/JKMS.j210084
이용수
초록· 키워드
오류제보하기
In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term. After proving the existence of solutions, we establish a general decay estimate of the solution using energy estimates and theory of convex functions. This result extends and complements some previous results of \cite{ha-par, mus}.
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참고문헌 (25)
참고문헌 신청
V. I. Arnold / 1989 / Mathematical Methods of Classical Mechanics / Springer-Verlag
J. Barrow / 1995 / In ationary models with logarithmic potentials / Phys. Rev. D 52:5576~5587
Salah Boulaaras / 2019 / General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity / Mathematical Methods in the Applied Sciences 42(14):4795~4814
Y. Cao / 2018 / Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Electron. J. Differential Equa-tions 2018(116):19
M. M. Cavalcanti / 2001 / Existence and uniform decay for a non-linear viscoelastic equation with strong damping / Mathematical Methods in the Applied Sciences 24(14):1043~1053
J. Barrow / 1995 / In ationary models with logarithmic potentials / Phys. Rev. D 52:5576~5587
Salah Boulaaras / 2019 / General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity / Mathematical Methods in the Applied Sciences 42(14):4795~4814
Y. Cao / 2018 / Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity / Electron. J. Differential Equa-tions 2018(116):19
M. M. Cavalcanti / 2001 / Existence and uniform decay for a non-linear viscoelastic equation with strong damping / Mathematical Methods in the Applied Sciences 24(14):1043~1053
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