P. Marcolongo ON THE SOLVABILITY IN GEVREY CLASSES OF A LINEAR OPERATOR IN TWO VARIABLES

نویسندگان

  • Petar Popivanov
  • P. Marcolongo
چکیده

We show non solvability results in Gevrey spaces Gs for a linear partial differential operator with a single real characteristic of constant multiplicity m, m ≥ 3, provided s > m/(m−2)+δ, where δ > 0 depends on the order of the degeneracy of a suitable lower order term. In particular, δ → 0 as the order of the degeneracy tends to +∞.

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تاریخ انتشار 2002