An estimate for the resolvent of a non-selfadjoint differential operator on an unbounded domain

We consider the operator defined by , , where is an unbounded domain, is a positive definite selfadjoint operator defined on a domain and is a bounded complex measurable function with the property for a . We derive an estimate for the norm of the resolvent of . In addition, we prove that is invertib...

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Veröffentlicht in:	Journal of applied analysis 2013-12, Vol.19 (2), p.231-246
1. Verfasser:	Gil', Michael I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Eigenvalues Estimates Hilbert space Mathematical analysis Ordinary and partial differential operators Ordinary differential equations Partial differential equations resolvent spectrum perturbations Studies
Online-Zugang:	Volltext
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