Numerical verification method for positivity of solutions to elliptic equations

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  • Numerical verification method for positivity of solutions to elliptic equations (Numerical Analysis : New Developments for Elucidating Interdisciplinary Problems II)

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In this paper, we propose a numerical method for verifying the positivity of solutions to semilinear elliptic equations. We provide a sufficient condition for a solution to an elliptic equation to be positive in the domain of the equation, which can be checked numerically without requiring a complicated computation. We present some numerical examples.

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