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  Volume 4, Issue 1, Article 22
 
Comparison of Green Functions for Generalized Schrödinger Operators on $C^{1,1}$-Domains
    Authors: Lotfi Riahi,  
    Keywords: Green function, Schrödinger operator, $3G$-Theorem  
    Date Received: 16/09/02  
    Date Accepted: 10/02/03  
    Subject Codes:

34B27,35J10.

  
    Editors: A. M. Fink,  
 
    Abstract:

We establish some inequalities on the ${frac{1}{2}}Delta $-Green function $G$ on bounded $C^{1,1}$-domain. We use these inequalities to prove the existence of the $left( {frac{1}{2}}Delta -mu right) $-Green function $G_{mu }$ and its comparability to $G$, where $mu $ is in some general class of signed Radon measures. Finally we prove that the choice of this class is essentially optimal.

         
       
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