Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 50, Tome 519 (2022), pp. 229-263
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For a second order linear elliptic equation with uniformly elliptic principal part in divergence form and drift from a Kato–Stummel type class we establish the unique solvability and estimates of solutions of the corresponding noncoercive Dirichlet problem.
@article{ZNSL_2022_519_a9,
author = {M. D. Surnachev},
title = {Estimates of solutions to the noncoercive {Dirichlet} problem for a second order elliptic equation in divergence form with drift from a {Kato} class},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {229--263},
publisher = {mathdoc},
volume = {519},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_519_a9/}
}
TY - JOUR AU - M. D. Surnachev TI - Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class JO - Zapiski Nauchnykh Seminarov POMI PY - 2022 SP - 229 EP - 263 VL - 519 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2022_519_a9/ LA - ru ID - ZNSL_2022_519_a9 ER -
%0 Journal Article %A M. D. Surnachev %T Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class %J Zapiski Nauchnykh Seminarov POMI %D 2022 %P 229-263 %V 519 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2022_519_a9/ %G ru %F ZNSL_2022_519_a9
M. D. Surnachev. Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 50, Tome 519 (2022), pp. 229-263. http://geodesic.mathdoc.fr/item/ZNSL_2022_519_a9/