Nonexistence of global solutions of nonlinear wave equations.
Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Eloulaimi, R., Guedda, M. (2001)
Portugaliae Mathematica. Nova Série
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Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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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.
Mitsuhiro Nakao (1991)
Mathematische Zeitschrift
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Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
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Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Doan Thi Nhu Quynh, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2023)
Applications of Mathematics
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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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P. Brenner (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Souplet, Philippe (1995)
Portugaliae Mathematica
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