ON EXISTENCE OF SOLUTIONS FOR THE UNILATERAL PROBLEM ASSOCIATED TO THE DEGENERATE KIRCHHOFF EQUATIONS
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概要
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"Let ＄￥Omega＄ be a bounded domain in ＄￥mathbb{R}^{N}＄ with smooth boundary ＄￥Gamma,＄ ＄T＄ is a positive real number, ＄￥rho＄ : ＄[0, T]￥times￥overline{￥Omega}￥rightarrow ￥mathbb{R}＄ is a real function. In this paper, we consider the existence of solutions for the following nonlinear unilateral problem: ＄￥rho(t, x)u_{tt}(t, x)-||￥nabla u(t,x)||_{2}^{2￥gamma}￥Delta u(t, x)￥geq|u(t, x)|^{￥alpha}u(t,x)＄ on ＄[0, T]￥times￥Omega＄ , ＄u(t, x)=0＄ on ＄￥sum=[0, T]￥times￥Gamma＄ , ＄u(0, x)=u_{0}(x),＄ ＄u_{t}(0, x)=u_{1}(x)＄ on ＄￥Omega＄ , where ＄￥Delta＄ is the Laplacian in ＄￥mathbb{R}^{N},＄ ＄￥alpha>0＄ and ＄￥gamma￥geq 1＄ ."
- Yokohama City University and Yokohama National Universityの論文
- 1999-00-00
Yokohama City University and Yokohama National University | 論文
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- ON EXISTENCE OF SOLUTIONS FOR THE UNILATERAL PROBLEM ASSOCIATED TO THE DEGENERATE KIRCHHOFF EQUATIONS