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SEMIDISCRETIZATION IN SPACE OF NONLINEAR DEGENERATE MRABOLIC EQUATIONS WITH BLOW-UP OF THE SOLUTIONS |
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| Authors: | Tetsuya Ishiwata |
| 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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