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Non-Linearity Induced by the Branching Property

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Schrödinger Equations and Diffusion Theory

Part of the book series: Monographs in Mathematics ((MMA,volume 86))

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Abstract

The purpose of this chapter is to show how the non-linearity of a special kind appears from the branching property. The usual branching property induces a rather restrictive non-linearity. To extend it, the branching property will be generalized. Therefore, this chapter does not belong to the main context of the monograph. It is for the reader’s convenience in referring to, and is not necessary in reading the main text.

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Notes

  1. Because of the factor λ = 2 it may diverge

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  2. Notice that there is no killing

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  3. This contains a generalization of Fujita (1966)

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© 1993 Springer Basel AG

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Nagasawa, M. (1993). Non-Linearity Induced by the Branching Property. In: Schrödinger Equations and Diffusion Theory. Monographs in Mathematics, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8568-3_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8568-3_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9684-9

  • Online ISBN: 978-3-0348-8568-3

  • eBook Packages: Springer Book Archive

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