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Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.
2
votes
0
answers
44
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Potential scattering for non-decaying potential
I am reading this note on potential scattering by Siu-Hung Tang and Maciej Zworski.
Just wondering if there is a scattering theory for the Schrödinger with a non-decaying potential $- \Delta + V$ on t …
1
vote
1
answer
171
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Lower bound of the spectrum of a Schrodinger operator on a bounded domain
I am trying to look for references on estimate of the lower bound of the spectrum of a Schrodinger operator $-\Delta + V$ on a bounded domain in three-dimensional space. For simplicity, we can take th …
3
votes
0
answers
79
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Boundedness for resolvents of perturbed operators
( might not be a research-level question... if it violates any term of this website I will delete it ASAP )
I'm wondering if there is any way to show the boundedness/unboundedness of operators like $ …