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zbMATH Open
Article . 1980
Data sources: zbMATH Open
SIAM Journal on Control and Optimization
Article . 1980 . Peer-reviewed
Data sources: Crossref
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On the Optimal Impulse Control Problem for Degenerate Diffusions

On the optimal impulse control problem for degenerate diffusions
Authors: Menaldi, J. L.;

On the Optimal Impulse Control Problem for Degenerate Diffusions

Abstract

In this paper, we give a characterization of the optimal cost of an impulse control problem as the maximum solution of a quasi-variational inequality without assuming nondegeneracy. An estimate of the velocity of uniform convergence of the sequence of stopping time problems associated with the impulse control problem is given.

Keywords

Stopping times; optimal stopping problems; gambling theory, non-coercive variational inequality, Optimal stochastic control, Variational inequalities, Diffusion processes, impulse control

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    35
    popularity
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    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Average
Top 10%
Top 10%
bronze