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Lp-estimates for the Strong Solutions of Elliptic Equations of Nondivergent Type
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@Article{JPDE-6-349,
author = {Bian Baojun},
title = {Lp-estimates for the Strong Solutions of Elliptic Equations of Nondivergent Type},
journal = {Journal of Partial Differential Equations},
year = {1993},
volume = {6},
number = {4},
pages = {349--360},
abstract = { We investigate the second derivatives L^p-estimates for the strong solutions of second order linear elliptic equations in nondivergencc form Lu = f in the case in which the leading coefficients of L are not continuous. The L^p-estimates for small p are obtained if L is uniformly elliptic. Furthermore, if the leading coefficients of L belong to W^{1,n}, then we get the second derivatives L^p-estimates for large p. The existence of the strong solutions of the homogeneous Dirichlet problem is also considered.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5721.html}
}
TY - JOUR
T1 - Lp-estimates for the Strong Solutions of Elliptic Equations of Nondivergent Type
AU - Bian Baojun
JO - Journal of Partial Differential Equations
VL - 4
SP - 349
EP - 360
PY - 1993
DA - 1993/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5721.html
KW - Second derivatives L^p-estimates
KW - strong solutions
KW - discontinuous leading coefficients
KW - perturbation technique
KW - elliptic equations
AB - We investigate the second derivatives L^p-estimates for the strong solutions of second order linear elliptic equations in nondivergencc form Lu = f in the case in which the leading coefficients of L are not continuous. The L^p-estimates for small p are obtained if L is uniformly elliptic. Furthermore, if the leading coefficients of L belong to W^{1,n}, then we get the second derivatives L^p-estimates for large p. The existence of the strong solutions of the homogeneous Dirichlet problem is also considered.
Bian Baojun. (1993). Lp-estimates for the Strong Solutions of Elliptic Equations of Nondivergent Type.
Journal of Partial Differential Equations. 6 (4).
349-360.
doi:
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