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Extinction for discretizations of some semilinear parabolic equations. (English. Abridged French version) Zbl 0999.35004
Summary: We obtain some conditions under which solutions for semidiscretizations of semilinear parabolic equations extinct in a finite time and estimate their extinction time. A similar study is also undertaken for full discretizations.

35A35 Theoretical approximation in context of PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
34C11 Growth and boundedness of solutions to ordinary differential equations
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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