Buttazzo, G. ; Casas, E. ; de Teresa, L. ; Glowinski, R. ; Leugering, G. ; Trélat, E. ; Zhang, X.(éd.)
There are very important results by Enrique Zuazua on the subject of the convection-diffusion equation
| $$ |
In some sense this paper deals with a linear (i.e. q = 1) elliptic counterpart of the above equation if d is not constant.
We prove regularizing results on the solutions, under assumptions of interplay between the datum and the coefficient of the zero order term or between the modulus of the drift and the coefficient of the zero order term.
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Keywords: Regularizing effect, interplay between coefficients, problems with convection terms, problems with drift terms
@article{COCV_2021__27_1_A49_0,
author = {Boccardo, Lucio},
editor = {Buttazzo, G. and Casas, E. and de Teresa, L. and Glowinski, R. and Leugering, G. and Tr\'elat, E. and Zhang, X.},
title = {Regularizing effect of the interplay between coefficients in {Dirichlet} problems with convection or drift terms},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2021},
publisher = {EDP-Sciences},
volume = {27},
doi = {10.1051/cocv/2021015},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2021015/}
}
TY - JOUR AU - Boccardo, Lucio ED - Buttazzo, G. ED - Casas, E. ED - de Teresa, L. ED - Glowinski, R. ED - Leugering, G. ED - Trélat, E. ED - Zhang, X. TI - Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2021 VL - 27 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2021015/ DO - 10.1051/cocv/2021015 LA - en ID - COCV_2021__27_1_A49_0 ER -
%0 Journal Article %A Boccardo, Lucio %E Buttazzo, G. %E Casas, E. %E de Teresa, L. %E Glowinski, R. %E Leugering, G. %E Trélat, E. %E Zhang, X. %T Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms %J ESAIM: Control, Optimisation and Calculus of Variations %D 2021 %V 27 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2021015/ %R 10.1051/cocv/2021015 %G en %F COCV_2021__27_1_A49_0
Boccardo, Lucio. Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms. ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 47. doi: 10.1051/cocv/2021015
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