MATRIX TRIANGULATION OF HYPOELLIPTIC BOUNDARY-VALUE-PROBLEMS

被引：2
|
作者：
ARTINO, RA
BARROSNETO, J
机构：
[1] CUNY CITY COLL,NEW YORK,NY 10031
[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08503
来源：
ANNALES DE L INSTITUT FOURIER | 1992年 / 42卷 / 04期
关键词：
HYPOELLIPTIC BOUNDARY VALUE PROBLEMS; PARAMETRIX; REGULARITY UP TO THE BOUNDARY;
D O I：
10.5802/aif.1310
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a hypoelliptic boundary value problem on omega X (0, T) with omega an open set in R(n), (n > 1), we show by matrix triangulation how to reduce it to two uncoupled first order systems, and how to estimate the eigenvalues of the corresponding matrices. Parametrices for the first order systems are constructed. We then characterize hypoellipticity up to the boundary in terms of the Calderon operator corresponding to the boundary value problem.
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页码：805 / 824
页数：20
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