Blowup of solutions for evolution equations with nonlinear damping.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Yoshihiro Shibata (1993)
Commentationes Mathematicae Universitatis Carolinae
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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
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In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Yang Zhifeng (2008)
Open Mathematics
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The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
Souplet, Philippe (1995)
Portugaliae Mathematica
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Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
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Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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Jendoubi, M.A. (1998)
Portugaliae Mathematica
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