We study existence and approximation of non-negative solutions of partial differential equations of the type
Mots clés : nonlinear diffusion equations, parabolic equations, variable coefficient parabolic equations, gradient flows, Wasserstein distance, asymptotic behaviour
@article{COCV_2009__15_3_712_0, author = {Lisini, Stefano}, title = {Nonlinear diffusion equations with variable coefficients as gradient flows in {Wasserstein} spaces}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {712--740}, publisher = {EDP-Sciences}, volume = {15}, number = {3}, year = {2009}, doi = {10.1051/cocv:2008044}, mrnumber = {2542579}, zbl = {1178.35201}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2008044/} }
TY - JOUR AU - Lisini, Stefano TI - Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2009 SP - 712 EP - 740 VL - 15 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2008044/ DO - 10.1051/cocv:2008044 LA - en ID - COCV_2009__15_3_712_0 ER -
%0 Journal Article %A Lisini, Stefano %T Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces %J ESAIM: Control, Optimisation and Calculus of Variations %D 2009 %P 712-740 %V 15 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2008044/ %R 10.1051/cocv:2008044 %G en %F COCV_2009__15_3_712_0
Lisini, Stefano. Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 3, pp. 712-740. doi : 10.1051/cocv:2008044. http://www.numdam.org/articles/10.1051/cocv:2008044/
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