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Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions
Authors:Tetsuya Ishiwata &  Masayoshi Tsutsumi
Abstract:Semidiscretization in space of nonlinear degenerate parabolic equations of nondivergent form is presented, under zero Dirichlet boundary condition. It is shown that semidiscrete solutions blow up in finite time. In particular, the asymptotic behavior of blowing-up solutions, is discussed precisely.
Keywords:Semi-discrete problem  Blow-up of solutions  Blow-up rate  Blow-up set  Limiting profile  
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