Mathematical Behavior of Solutions of Fourth-Order Hyperbolic Equation with Logarithmic Source Term

Abstract

The main goal of this paper is to study for a fourth-order hyperbolic equation with logarithmic nonlinearity. We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved local existence of solutions. Later, we proved global existence of solutions by potential well method. Finally, we showed the decay estimates result of the solutions.

Keywords

• Existence,Decay of solution

References

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