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Positivity, Trotter Products, and Blow-up

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Abstract

We give a new approach to blow-up results for nonlinear evolution equations of the form u(t) =Au(t) +Φ(u(t)) on ordered Banach spaces, using the Lie--Trotter product formula for obtaining lower and upper bounds for the solution.

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Authors and Affiliations

  1. 1980 South Dexter Street, Denver, CO, 80222, USA

    Matt Cliff

  2. University of Memphis, Memphis, TN, 38152, USA

    Jerome A. Goldstein

  3. Mathematisches Institut, Auf der Morgenstelle 10, D-72076, Tübingen, Germany

    Markus Wacker

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  1. Matt Cliff
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  2. Jerome A. Goldstein
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  3. Markus Wacker
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Cliff, M., Goldstein, J.A. & Wacker, M. Positivity, Trotter Products, and Blow-up. Positivity 8, 187–208 (2004). https://doi.org/10.1023/B:POST.0000042835.75168.22

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