Bulletin of the Korean Mathematical Society (대한수학회보)

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ENERGY DECAY ESTIMATES FOR A KIRCHHOFF MODEL WITH VISCOSITY

  • Published : 2006.05.01
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Abstract

In this paper we study the uniform decay estimates of the energy for the nonlinear wave equation of Kirchhoff type $$y'(t)-M({\mid}{\nabla}y(t){\mid}^2){\triangle}y(t)\;+\;{\delta}y'(t)=f(t)$$ with the damping constant ${\delta} > 0$ in a bounded domain ${\Omega}\;{\subset}\;\mathbb{R}^n$.

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References

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