On the Uniqueness of Classical Solutions of Cauchy Problems

نویسندگان

  • ERHAN BAYRAKTAR
  • HAO XING
چکیده

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 note, we give a condition on the volatility that is necessary and sufficient for a Cauchy problem to admit a unique solution

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تاریخ انتشار 2009