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On the uniqueness of classical solutions of Cauchy problems

Given that the terminal condition is of at most linear growth, it is well known that a Cauchy problem admits a unique classical solution when the coefficient multiplying the second derivative (i.e., the volatility) is also a function of at most linear growth. In this note, we give a condition on the volatility that is necessary and sufficient for a Cauchy problem to admit a unique solution.
Year of publication:
2009-08
Authors: Bayraktar, Erhan ; Xing, Hao
Institutions: arXiv.org
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Language: English
Source:
Persistent link: https://www.econbiz.de/10005026927
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