Linear Extensions of Nonlinear Semigroups

Dorroh, J. R.; Neuberger, J. W.

doi:10.1007/978-3-0348-8417-4_9

J. R. Dorroh⁴ &
J. W. Neuberger⁵

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 42))

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Abstract

This note concerns extending a nonlinear semigroup to a linear one after identifying points with corresponding Dirac measures. Generators of such linear extensions are characterized. A linear extension and hence the original semigroup is recovered from this generator by means of an exponential formula.

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Authors and Affiliations

Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana, 70803, USA
J. R. Dorroh
Department of Mathematics, University of North Texas, P.O. Box 305118, Denton, 76203-5118, USA
J. W. Neuberger

Authors

J. R. Dorroh
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J. W. Neuberger
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Editor information

Editors and Affiliations

Department of Electrical Engineering, UCLA m/c 951594, Los Angeles, 90095, CA, USA
A. V. Balakrishnan

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Dorroh, J.R., Neuberger, J.W. (2000). Linear Extensions of Nonlinear Semigroups. In: Balakrishnan, A.V. (eds) Semigroups of Operators: Theory and Applications. Progress in Nonlinear Differential Equations and Their Applications, vol 42. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8417-4_9

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DOI: https://doi.org/10.1007/978-3-0348-8417-4_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9558-3
Online ISBN: 978-3-0348-8417-4
eBook Packages: Springer Book Archive

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