Discrete phenomena in uniqueness in the Cauchy problem

Trèves, François

doi:10.1090/S0002-9939-1974-0352679-5

Discrete phenomena in uniqueness in the Cauchy problem
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by François Trèves

Proc. Amer. Math. Soc. 46 (1974), 229-233

DOI: https://doi.org/10.1090/S0002-9939-1974-0352679-5

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Abstract:

The concatenation method, recently applied to the study of solvability and hypoellipticity of linear partial differential equations with double characteristics, is used to show that uniqueness in the Cauchy problem, for certain degenerate hyperbolic equations, depends on whether the lower order terms (precisely, the subprincipal part) assume or not certain values belonging to a sequence of complex numbers.

References

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