On computational properties of Cauchy problems generated by accretive operators
Pedro Pinto,
Nicholas Pischke
Abstract:In this paper, we provide quantitative versions of results on the asymptotic behavior of nonlinear semigroups generated by an accretive operator due to O. Nevanlinna and S. Reich as well as H.-K. Xu. These results themselves rely on a particular assumption on the underlying operator introduced by A. Pazy under the name of "convergence condition". Based on logical techniques from "proof mining", a subdiscipline of mathematical logic, we derive various notions of a "convergence condition with modulus" which prov… Show more
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