Numerical verification method for positiveness of solutions to elliptic equations
classification
🧮 math.NA
cs.NAmath.APmath.FA
keywords
ellipticnumericalequationequationsmethodpositivenesssolutionschecked
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In this paper, we propose a numerical method for verifying the positiveness 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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