A stability theorem for a real analytic singular Cauchy problem

Author:
W. J. Walker

Journal:
Proc. Amer. Math. Soc. **42** (1974), 495-500

MSC:
Primary 35M05

DOI:
https://doi.org/10.1090/S0002-9939-1974-0342877-9

MathSciNet review:
0342877

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Abstract: In this paper we prove the equation , with initial conditions is well posed provided that and belong to special classes of real analytic functions. In general this problem is not stable for and and real analytic functions.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0342877-9

Article copyright:
© Copyright 1974
American Mathematical Society