LOWER BOUNDS FOR PSEUDODIFFERENTIAL-OPERATORS

被引：17
作者：
LERNER, N
NOURRIGAT, J
机构：
[1] UNIV RENNES 1,IRMAR,F-35042 RENNES,FRANCE
[2] PURDUE UNIV,W LAFAYETTE,IN 47907
[3] UNIV REIMS,F-51000 REIMS,FRANCE
来源：
ANNALES DE L INSTITUT FOURIER | 1990年 / 40卷 / 03期
关键词：
LOWER BOUNDS; PSEUDODIFFERENTIAL; SCHRODINGER OPERATORS;
D O I：
10.5802/aif.1227
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper contains some new results on lower bounds for pseudo-differential operators whose symbols do not remain positive. Non-negativity of averages of the symbol on canonical images of the unit balls is sufficient to get a Garding type inequality for Schrodinger operators with magnetic potential and one dimensional pseudo-differential operators.
引用
收藏
页码：657 / 682
页数：26
相关论文
共 12 条
[1]  
[Anonymous], 1985, GRUNDLEHREN MATH WIS
[2]  
Cordoba A., 1978, COMMUN PART DIFF EQ, V3, P979
[3]   POSITIVITY OF PSEUDODIFFERENTIAL OPERATORS [J].
FEFFERMAN, C ;
PHONG, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1978, 75 (10) :4673-4674
[4]   SYMPLECTIC-GEOMETRY AND POSITIVITY OF PSEUDODIFFERENTIAL-OPERATORS [J].
FEFFERMAN, C ;
PHONG, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1982, 79 (02) :710-713
[5]   THE UNCERTAINTY PRINCIPLE AND SHARP GARDING INEQUALITIES [J].
FEFFERMAN, C ;
PHONG, DH .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (03) :285-331
[6]   LOWEST EIGENVALUE OF A PSEUDODIFFERENTIAL OPERATOR [J].
FEFFERMAN, C ;
PHONG, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1979, 76 (12) :6055-6056
[7]   THE UNCERTAINTY PRINCIPLE [J].
FEFFERMAN, CL .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 9 (02) :129-206
[8]  
Helffer B, 1985, PROGR MATH, V58
[9]  
Hormander L., 1966, ANN MATH, V83, P129
[10]   ON STABILITY FOR DIFFERENCE SCHEMES - A SHARP FORM OF GARDINGS INEQUALITY [J].
LAX, PD ;
NIRENBER.L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1966, 19 (04) :473-&
12