JournalszaaVol. 19, No. 2pp. 453–468

Non-Existence Results for a Semilinear Hyperbolic Problem with Boundary Condition of Memory Type

  • Mokhtar Kirane

    Université de la Rochelle, France

  • Nasser-edine Tatar

    King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Non-Existence Results for a Semilinear Hyperbolic Problem with Boundary Condition of Memory Type cover
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Abstract

We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.

Cite this article

Mokhtar Kirane, Nasser-edine Tatar, Non-Existence Results for a Semilinear Hyperbolic Problem with Boundary Condition of Memory Type. Z. Anal. Anwend. 19 (2000), no. 2, pp. 453–468

DOI 10.4171/ZAA/961