On generalized solutions to the wave equation in canonical form
Victor Dévoué
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Victor Dévoué
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Otto Liess (1987)
Banach Center Publications
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Mitsuhiro Nakao, Kosuke Ono (1993)
Mathematische Zeitschrift
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Hussain, Wasiq (2008)
Applied Mathematics E-Notes [electronic only]
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Sommen, F.
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Blaya, Ricardo Abreu, Reyes, Juan Bory, Brackx, Fred, De Knock, Bram, De Schepper, Hennie, Peña, Dixan Peña, Sommen, Frank (2008)
Boundary Value Problems [electronic only]
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Papanicolaou, George (1998)
Documenta Mathematica
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Khèkalo, S.P. (2005)
Zapiski Nauchnykh Seminarov POMI
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Fatiha Alabau-Boussouira (2008)
Applicationes Mathematicae
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This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped....
Wiryanto, L.H. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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...
Kristóf Kály-Kullai, András Volford, Henrik Farkas (2003)
Banach Center Publications
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Excitation wave propagation in a heterogeneous medium around a circular obstacle is investigated, when the obstacle is located very eccentrically with respect to the interfacial circle separating the slow inner and the fast outer region. Qualitative properties of the permanent wave fronts are described, and the calculated wave forms are presented.
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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