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2007 International Conference in Honor of Jacqueline Fleckinger. Electronic Journal of Differential Equations, Conference 15, 2007, pp. 101124.
 

Summary: 2007 ­ International Conference in Honor of Jacqueline Fleckinger.
Electronic Journal of Differential Equations, Conference 15, 2007, pp. 101­124.
ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu
ftp ejde.math.txstate.edu (login: ftp)
COMPACTNESS FOR A SCHR¨ODINGER OPERATOR
IN THE GROUND-STATE SPACE OVER RN
B´EN´EDICTE ALZIARY AND PETER TAK´AC
"Dedicated to Jacqueline Fleckinger
on the occasion of an international conference in her honor."
Abstract. We investigate the compactness of the resolvent (A-I)-1 of the
Schr¨odinger operator A = - + q(x)· acting on the Banach space X,
X = {f L2
(RN
) : f/ L
(RN
)}, f X = ess sup
RN
(|f|/) ,
X L2(RN ), where denotes the ground state for A acting on L2(RN ).
The potential q : RN [q0, ), bounded from below, is a "relatively small"

  

Source: Alziary-Chassat, Bénédicte - Université Toulouse 1 - Capitole

 

Collections: Mathematics