On relationships between different concepts of hypoellipticity. (English) Zbl 1532.35132
Summary: The paper investigates connections and relations between different types (concepts) of hypoelliptic differential operators (symbols (characteristic polynomials) of these operators).
MSC:
35H10 | Hypoelliptic equations |
26D05 | Inequalities for trigonometric functions and polynomials |
35A23 | Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals |
Keywords:
hypoelliptic according to Hörmander operator (polynomial); partially hypoelliptic according to Gȧrding-Malgrange; according to Elliot and according to Burenkov operator (polynomial); Newton’s polyhedronReferences:
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