| | |
Summary: journal of differential equations 133, 280 295 (1997)
A Pointwise Lower Bound for Positive Solutions
of a Schrodinger Equation in RN
Benedicte Alziary*
CEREMATH, Universite des Sciences Sociales, 21 Allee de Brienne,
F-31042 Toulouse Cedex, France
and
Peter Takac-
Fachbereich Mathematik, Universitat Rostock, Universitatsplatz 1,
D-18055 Rostock, Germany
Received April 17, 1996
Strong positivity of the bounded inverse (&A)&1
of a Schrodinger operator
&A=&2+q(x)v in L2
(RN
) is proved in the following form: If &Au=f 0 in
L2
(RN
) with f 0, then u c.1 a.e. in RN
. Here, .1 is the positive eigenfunction
|
