Semigroups Generated by Volterra Integro-Differential Equations
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DOI: 10.1134/s0012266120090098
Abstract: We study abstract integro-differential equations that are operator models of problems in viscoelasticity. We present results based on an approach related to the study of one-parameter semigroups for linear evolution equations. The presented approach can… read more here.
Keywords: integro differential; semigroups generated; equations semigroups; generated volterra ... See more keywords
Variation Operators Associated with the Semigroups Generated by Schrodinger Operators with Inverse Square Potentials
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DOI: 10.1142/s0219530522500038
Abstract: By {T t }t>0 we denote the semigroup of operators generated by the Friedrichs extension of the Schrödinger operator with the inverse square potential La = −∆+ a |x|2 defined in C∞ c (R n… read more here.
Keywords: inverse square; semigroups generated; associated semigroups; operators associated ... See more keywords
Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker–Planck–Kolmogorov equations
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DOI: 10.1515/fca-2018-0065
Abstract: Abstract We consider operator semigroups generated by Feller processes killed upon leaving a given domain. These semigroups correspond to Cauchy–Dirichlet type initial-exterior value problems in this domain for a class of evolution equations with (possibly… read more here.
Keywords: semigroups generated; time fractional; time; feller processes ... See more keywords