On the Decay of Solutions of Some Nonlinear Dissipative Wave Equations in Higher Dimensions.
Mitsuhiro Nakao (1986)
Mathematische Zeitschrift
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Displaying similar documents to “On the nonlinear stabilization of the wave equation”
On the Decay of Solutions of Some Nonlinear Dissipative Wave Equations in Higher Dimensions.
Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms
Petronela Radu (2008)
Applicationes Mathematicae
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We show local existence of solutions to the initial boundary value problem corresponding to a semilinear wave equation with interior damping and source terms. The difficulty in dealing with these two competitive forces comes from the fact that the source term is not a locally Lipschitz function from H¹(Ω) into L²(Ω) as typically assumed in the literature. The strategy behind the proof is based on the physics of the problem, so it does not use the damping present in the equation. The...
Time Decay for Nonlinear Wave Equations in Two Space Dimensions.
Hartmut Pecher, Robert Glassey (1982)
Manuscripta mathematica
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Mathematical problems in geophysical wave propagation.
Papanicolaou, George (1998)
Documenta Mathematica
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Ground-wave perturbation over a transition zone between two different section
Z. Godziński, L. Stasierski (1972)
Applicationes Mathematicae
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Blowup of solutions of a nonlinear wave equation.
Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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Remarks on the existence an uniqueness of global decaying solutions of the nonlinear dissipative wave equations.
Mitsuhiro Nakao (1991)
Mathematische Zeitschrift
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Wave growth patterns in a nonlinear dispersive system with instability and dissipation.
Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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Waves and wave groups in deep water.
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations
Bogdan Przeradzki, Katarzyna Szymańska-Dębowska (2014)
Banach Center Publications
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The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Blow-up of solutions for a viscoelastic equation with nonlinear damping
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.
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
Mohammed Aassila (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
Time deformations of powers of the wave operator.
Khèkalo, S.P. (2005)
Zapiski Nauchnykh Seminarov POMI
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