Summary
Necessary and sufficient conditions are established for the existence of a solution of a Cauchy problem which is not well posed in the sense of Hadamard.
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Additional information
This research was supported in part by National Science Foundation Grant No. GP 5882 and in part by Air Force Contract AF OSR 396-63
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Sather, D., Sather, J. The cauchy problem for an elliptic parabolic operator. Annali di Matematica 80, 197–214 (1968). https://doi.org/10.1007/BF02413629
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DOI: https://doi.org/10.1007/BF02413629