We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed point-wise conditions at infinity (in space), which can be time-dependent. Moreover, we study the asymptotic behavior of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.
Accepté le :
DOI : 10.1051/cocv/2016077
Mots-clés : Nonlocal operators, evolution equations, sub- supersolutions
@article{COCV_2018__24_1_105_0,
author = {Punzo, Fabio and Valdinoci, Enrico},
title = {Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {105--127},
publisher = {EDP-Sciences},
volume = {24},
number = {1},
year = {2018},
doi = {10.1051/cocv/2016077},
mrnumber = {3764136},
zbl = {1395.35197},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2016077/}
}
TY - JOUR AU - Punzo, Fabio AU - Valdinoci, Enrico TI - Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2018 SP - 105 EP - 127 VL - 24 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2016077/ DO - 10.1051/cocv/2016077 LA - en ID - COCV_2018__24_1_105_0 ER -
%0 Journal Article %A Punzo, Fabio %A Valdinoci, Enrico %T Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients %J ESAIM: Control, Optimisation and Calculus of Variations %D 2018 %P 105-127 %V 24 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2016077/ %R 10.1051/cocv/2016077 %G en %F COCV_2018__24_1_105_0
Punzo, Fabio; Valdinoci, Enrico. Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 105-127. doi : 10.1051/cocv/2016077. http://www.numdam.org/articles/10.1051/cocv/2016077/
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