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Asymptotic equivalence of nonlinear evolution equations in Banach spaces

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Abstract

We show how the approach of Yosida Approximation of the derivative serves to obtain new results for evolution systems. We give criteria for the asymptotic equivalence of two different evolution systems, i.e.,

$$\lim_{t \to \infty} \|U_A(t, s)x - U_B(t, s)x\| =0,$$

where the evolution systems are generated by two different families of nonlinear and multivalued time-dependent operators A(t), and B(t).

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  1. Universität Duisburg/Essen, Duisburg, Germany

    Josef Kreulich

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  1. Josef Kreulich
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Correspondence to Josef Kreulich.

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Kreulich, J. Asymptotic equivalence of nonlinear evolution equations in Banach spaces. J. Evol. Equ. 14, 969–1000 (2014). https://doi.org/10.1007/s00028-014-0248-0

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  • DOI: https://doi.org/10.1007/s00028-014-0248-0

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