Local Solvability For a Class of Partial Differential Operators With Double Characteristics

Details Local Solvability For a Class of Partial Differential Operators With Double Characteristics Local Solvability For a Class of Partial Differential Operators With Double Characteristics

1995-12-06

arxiv.org/abs/math/9512215v1

Mathematics

Analysis of PDEs

Scientific paper

A necessary and sufficient condition for local solvability is presented for
the linear partial differential operators $-X^2-Y^2+ia(x)[X,Y]$ in $\bold
R^3=\{(x,y,t)\}$, where $X=\partial_x,\; Y=\partial_y+x^k\partial_t$, and
$a\in C^{\infty}(\bold R^1)$ is real valued, for each positive integer $k$.

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