Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UNSOLVABILITY OF SOME PARTIAL DIFFERENTIAL OPERATOR

  • Published : 1998.01.01
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Abstract

It is proved that the partial differential operator $D_x + ix^q D^2_y$ is not locally solvable in any open set which intersects the line x = 0, when $q = - \frac{2l-1}{2k-1}$ is not an integer.

Keywords

References

  1. Duke Math. v.10 A note on local solvability C. Hoel
  2. Linear Particl Differential Operators L. Hormander
  3. Israel J. Math v.9 An unsolvable hypoelliptic differential operator Y. Kannai
  4. Comm. Pure Appl. Math. v.23 On local solvability of linear partial defferential equations, Part 1 : Necessary conditions, Part 2 : Suffricient conditions C. Nirenberg;F. Treves
  5. Bull. of Korean Math. Soc. v.31 Unsolvable partial differential operators of degeneratetype R. J. Kim;J. S. Kim
  6. Comm. Pure Appl. Math. v.24 Analytic-hypoelliptic particl differential equations of principle type F. Treves