Summary
We consider non-inverse positive differential operators of the second order and show that error estimates can be obtained through methods of inverse positivity alone. This means a significant simplification if the operator has only one negative eigenvalue. In addition we show how to obtain Range-Domain implications for operators with mixed boundary conditions.
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The author would like to thank the European Research Office of the United States Army for their kind interest
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Küpper, T. Einschließungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise Ungleichungen. Numer. Math. 30, 93–101 (1978). https://doi.org/10.1007/BF01403909
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DOI: https://doi.org/10.1007/BF01403909