Uniform estimates of Gronwall type |
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| Authors: | Vittorino Pata |
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| Institution: | Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy |
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| Abstract: | We discuss a Gronwall-type lemma depending on a small parameter ε>0, based on an integral inequality that predicts blow-up in finite time of the involved unknown function for any fixed ε. The result permits to establish uniform estimates even if the function itself depends on ε. |
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| Keywords: | Gronwall lemma Differential and integral inequalities Uniform estimates |
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