On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
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@Article{CMR-37-209,
author = {Aramaki , Junichi},
title = {On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {37},
number = {2},
pages = {209--235},
abstract = {
In this paper, we consider the equivalent conditions with $L^p$-version ($1 < p < ∞$) of the J.L. Lions lemma. As applications, we first derive the existence of a weak solution to the Maxwell-Stokes type problem and then we consider the Korn inequality. Furthermore, we consider the relation to other fundamental results.
}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0043}, url = {http://global-sci.org/intro/article_detail/cmr/18738.html} }
TY - JOUR
T1 - On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
AU - Aramaki , Junichi
JO - Communications in Mathematical Research
VL - 2
SP - 209
EP - 235
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/cmr.2020-0043
UR - https://global-sci.org/intro/article_detail/cmr/18738.html
KW - J.L. Lions lemma, de Rham theorem, Maxwell-Stokes type problem, multiply-connected domain.
AB -
In this paper, we consider the equivalent conditions with $L^p$-version ($1 < p < ∞$) of the J.L. Lions lemma. As applications, we first derive the existence of a weak solution to the Maxwell-Stokes type problem and then we consider the Korn inequality. Furthermore, we consider the relation to other fundamental results.
Aramaki , Junichi. (2021). On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality.
Communications in Mathematical Research . 37 (2).
209-235.
doi:10.4208/cmr.2020-0043
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