On the spectral theory of second-order elliptic differential operators
Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 221-247
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$(L^p,\,L^q)$-estimates and $\mathfrak S_p$-properties of powers of the resolvent in weighted $L^p$-spaces are studied for a certain selfadjoint realization of the formal differential expression $-\sum_{k,j}\partial_k a_{kj}\partial_j+V$. A theory of generalized eigenfunction expansions is developed, and the continuous spectrum is investigated.
Bibliography: 30 titles.
@article{SM_1987_56_1_a13,
author = {Yu. A. Semenov},
title = {On the spectral theory of second-order elliptic differential operators},
journal = {Sbornik. Mathematics},
pages = {221--247},
publisher = {mathdoc},
volume = {56},
number = {1},
year = {1987},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1987_56_1_a13/}
}
Yu. A. Semenov. On the spectral theory of second-order elliptic differential operators. Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 221-247. http://geodesic.mathdoc.fr/item/SM_1987_56_1_a13/