Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces

Nikolai Yu. Bakaev

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-22

Abstract:

We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder, Lebesgue), and (Hölder, Hölder) pairs of norms. In particular, our results are useful for the stability and error analysis of semidiscrete and fully discrete approximations to parabolic partial differential problems with rough and distribution-valued data.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:861376

DOI: 10.1155/S0161171204303200

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