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Transactions of the American Mathematical Society

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Examples of nonsolvable partial differential equations

Author: Robert Rubinstein
Journal: Trans. Amer. Math. Soc. 199 (1974), 123-129
MSC: Primary 35G05
MathSciNet review: 0380082
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Abstract: Two examples of nonsolvable partial differential operators with multiple characteristics are presented. They illustrate the possibility that certain terms in the principal part may play no role in determining the solvability properties of the operator. This situation cannot occur for simple characteristics, where solvability is determined by the principal part.

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