Remark on Non-Uniform Fundamental and Non Smooth Solutions of Some Classes of Differential Operators with Double Characteristics
Vol. 6 (1999), No. 3, Page 437--452.
Tri, Nguyen Minh
Remark on Non-Uniform Fundamental and Non Smooth Solutions of Some Classes of Differential Operators with Double Characteristics
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Abstract:
We construct explicit formulas for fundamental solutions and non-smooth solutions at degenerate points of a model of Grushin's type operator. The results give all the discrete values of parameters where the operator is not hypoelliptic (nor analytic hypoelliptic).
Mathematics Subject Classification (1991): Primary 35H05; Secondary 35A08, 35D10, 35B65
Mathematical Reviews Number: MR1726678
Received: 1998-09-09