Non-solvability of Balakrishnan–Taylor Equation with Memory Term in \({\mathbb{R}}^{N}\)

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 41)

Abstract

We establish a nonexistence result for a viscoelastic problem with Balakrishnan-Taylor damping and a nonlinear source in the whole space. The nonexistence result is based on the test function method developed by Mitidieri and Pohozaev. We establish some necessary conditions for local existence and global existence as well.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Larbie TebessiTebessaAlgeria
  2. 2.Department of MathematicsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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