SOME APPLICATIONS OF BOREL TECHNIQUEIN PARTIAL DIFFERENTIAL EQUATIONS
Citation:
Chen Shuxing.SOME APPLICATIONS OF BOREL TECHNIQUEIN PARTIAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics B,1984,5(1):17~20
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Authors:
Chen Shuxing;
Abstract:
In this work Borel's technique is applied to analyzing the solvability of partial differetial equations. It is proved that if P is analytic-hypoelliptic, f is $\[{C^\infty }\]$, then the problem for $\[Pu = f\]$ with any number of conditions on a fixed point is ill-posed. Besides, some other results on the flat solution to Laplace equation and wave equation are obtained.