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On the Equivalence of Spectra of Linear Partial Differential Operators in Certain Function Spaces

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Abstract

For linear differential operators with coefficients of class C on ℝn, we prove theorems on the simultaneous invertibility and equivalence of spectra in the Lebesgue space L p, Stepanov space M p, and in a particular Banach space V p⊂ L p, p ≥ 1

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  1. Lipetsk State Technical University, Russia

    V. M. Tyurin

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  1. V. M. Tyurin
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Tyurin, V.M. On the Equivalence of Spectra of Linear Partial Differential Operators in Certain Function Spaces. Mathematical Notes 72, 833–840 (2002). https://doi.org/10.1023/A:1021494014087

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