The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces
Commentationes Mathematicae Universitatis Carolinae (1998)
- Volume: 39, Issue: 1, page 115-135
- ISSN: 0010-2628
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topLávička, Roman. "The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 115-135. <http://eudml.org/doc/248284>.
@article{Lávička1998,
abstract = {We shall show that every differential operator of 2-nd order in a real separable Hilbert space can be decomposed into a regular and an irregular operator. Then we shall characterize irregular operators and differential operators satisfying the maximum principle. Results obtained for the Lévy laplacian in [3] will be generalized for irregular differential operators satisfying the maximum principle.},
author = {Lávička, Roman},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lévy laplacian; maximum principle; Dirichlet and Poisson problem; Lévy Laplacian; maximum principle; Dirichlet and Poisson problem; self-adjoint bounded linear operators; compact linear operators; trace; symmetric bounded bilinear functionals; second order differential operator; second order Fréchet derivative; orthonormal basis; irregular operators; first order differential operators; Dirichlet and the Poisson problem},
language = {eng},
number = {1},
pages = {115-135},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces},
url = {http://eudml.org/doc/248284},
volume = {39},
year = {1998},
}
TY - JOUR
AU - Lávička, Roman
TI - The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 115
EP - 135
AB - We shall show that every differential operator of 2-nd order in a real separable Hilbert space can be decomposed into a regular and an irregular operator. Then we shall characterize irregular operators and differential operators satisfying the maximum principle. Results obtained for the Lévy laplacian in [3] will be generalized for irregular differential operators satisfying the maximum principle.
LA - eng
KW - Lévy laplacian; maximum principle; Dirichlet and Poisson problem; Lévy Laplacian; maximum principle; Dirichlet and Poisson problem; self-adjoint bounded linear operators; compact linear operators; trace; symmetric bounded bilinear functionals; second order differential operator; second order Fréchet derivative; orthonormal basis; irregular operators; first order differential operators; Dirichlet and the Poisson problem
UR - http://eudml.org/doc/248284
ER -
References
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