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Pré-Publication, Document De Travail Année : 2021

Initial-boundary value problem for second order hyperbolic operator with mixed boundary condition

Résumé

We deal with a linear hyperbolic differential operator of the second order on a bounded planar domain with a smooth boundary. We establish a well-posedness result in case where a mixed, Dirichlet-Neumann, boundary condition is prescribed on the boundary. We focus on the case of a nonhomogeneous Dirichlet data and a homogeneous Neumann one.
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Dates et versions

hal-03319255 , version 1 (12-08-2021)
hal-03319255 , version 2 (25-08-2021)
hal-03319255 , version 3 (16-09-2021)
hal-03319255 , version 4 (02-10-2021)
hal-03319255 , version 5 (13-11-2021)
hal-03319255 , version 6 (29-11-2021)
hal-03319255 , version 7 (15-12-2021)

Identifiants

  • HAL Id : hal-03319255 , version 7

Citer

Djamal Ait Akli, Abdelkader Merakeb. Initial-boundary value problem for second order hyperbolic operator with mixed boundary condition. 2021. ⟨hal-03319255v7⟩

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