科研之友
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摘要
We examine the local and semi-global solvability of partial differential operators which in operator notation take the form L = P (partial derivative(x), partial derivative(y) + x(m-1)partial derivative(w)) for certain homogeneous polynomials P of degree two or greater and for integers m >= 3. Using partial Fourier transforms we find a condition that is equivalent to semi-global and, in turn, local solvability of these operators. This condition is formulated in terms of certain transition matrices arising from a Fourier representation.
- 出版日期2010
