Examples of nonsolvable partial differential equations
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- by Robert Rubinstein PDF
- Trans. Amer. Math. Soc. 199 (1974), 123-129 Request permission
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.References
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- V. V. Grušin, A certain class of elliptic pseudodifferential operators that are degenerate on a submanifold, Mat. Sb. (N.S.) 84 (126) (1971), 163–195 (Russian). MR 0283630 L. Hörmander, Linear partial differential operators, Die Grundlehren der math. Wissenschaften, Band 116, Academic Press, New York; Springer-Verlag, Berlin, 1963, Chap. 6 MR 28 #4221. L. Nirenberg and F. Trèves, On local solvability of linear partial differential equations, Comm. Pure Appl. Math. 23 (1970), 1-38, 459-509. MR 41 #9064a, b.
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 199 (1974), 123-129
- MSC: Primary 35G05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0380082-5
- MathSciNet review: 0380082