Compactness for a Schrodinger operator in the ground-state space over $mathbb{R}^N$
We investigate the compactness of the resolvent $(mathcal{A} - lambda I)^{-1}$ of the Schrodinger operator $mathcal{A} = - Delta + q(x)ullet$ acting on the Banach space $X$,$$ X = { fin L^2(mathbb{R}^N): f / varphiin L^infty(mathbb{R}^N) } ,quad | f|_X = mathop{m ess,sup}_{mathbb{R}^N} (|f| / varp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/16/a4/abstr.html |