- 期刊
RELATIVELY BOUNDED AND COMPACT PERTURBATIONS OF NTH ORDER DIFFERENTIAL OPERATORS
摘要
A perturbation theory for nth order differential operators is developed. For certain classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L. These perturbation conditions involve explicit integral averages of the coefficients of B. The proofs involve interpolation inequalities.
延伸閱讀
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