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On the uniqueness of classical solutions of Cauchy problems

Bayraktar, Erhan and Xing, Hao (2010) On the uniqueness of classical solutions of Cauchy problems. Proceedings of the American Mathematical Society, 138 (06). pp. 2061-2064. ISSN 0002-9939

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Abstract

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 is also a function of at most linear growth. In this paper, we give a condition on the volatility that is necessary and sufficient for a Cauchy problem to admit a unique solution.

Item Type: Article
Additional Information: © 2010 American Mathematical Society
Library of Congress subject classification: H Social Sciences > HA Statistics
Sets: Departments > Statistics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 28 Jan 2011 15:52
URL: http://eprints.lse.ac.uk/31871/

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