Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic |
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Authors: | Michael Christ |
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Institution: | Department of Mathematics , Ucla , Los Angeles , CA, 90024 E-mail: christ@math.ucla.edu |
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Abstract: | If m {3,4,5,...} then the partial differential operator in R3 fails to be analytic hypoelliptic. This results from the existence of parameters C such that the ordinary differential equation has a nontrivial solution which remains bounded as |
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