A sufficient condition for hyperbolicity of partial differential operators with constant coefficient principal part
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- by Joseph L. Dunn PDF
- Trans. Amer. Math. Soc. 201 (1975), 315-327 Request permission
Abstract:
Let $P$ be a differential operator with principal part ${P_m}$, and suppose that ${P_m}$ has constant coefficients and is hyperbolic. It is shown that the condition for hyperbolicity of $P$ when $P$ has constant coefficients, namely, that $P$ is weaker than ${P_m}$ is also a sufficient condition for hyperbolicity in the case where $P$ does not have constant coefficients. Some generalizations are also made to the case where $P$ is a square matrix of differential operators.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 201 (1975), 315-327
- MSC: Primary 35L25
- DOI: https://doi.org/10.1090/S0002-9947-1975-0355358-9
- MathSciNet review: 0355358