K. Arrow, P. Dasgupta, L. Goulder, G. Daily, P. Ehrlich et al., Are We Consuming Too Much?, Journal of Economic Perspectives, vol.18, issue.3, pp.147-172, 2004.
DOI : 10.1257/0895330042162377

URL : http://stephenschneider.stanford.edu/Publications/PDF_Papers/Arrow_JEP_2004.pdf

T. Bassetti, N. Benos, and S. Karagiannis, CO2 Emissions and Income Dynamics: What Does the Global Evidence Tell Us?, Environmental and Resource Economics, vol.8, issue.1, pp.101-125, 2013.
DOI : 10.1016/S0954-349X(96)00072-0

A. Bensoussan, G. Da-prato, M. C. Delfour, and S. K. Mitter, Representation and Control of Infinite Dimensional Systems, 2006.
DOI : 10.1007/978-1-4612-2750-2

R. Boucekkine, G. Fabbri, F. Gozzi, and S. Federico, Growth and agglomeration in the heterogeneous space: a generalized AK approach, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01713905

R. Boucekkine, A. Pommeret, and F. Prieur, Technological vs. Ecological Switch and the Environmental Kuznets Curve, American Journal of Agricultural Economics, vol.6, issue.1, pp.252-260, 2013.
DOI : 10.2307/2527228

URL : https://hal.archives-ouvertes.fr/halshs-00633024

R. Boucekkine, J. Krawczyk, and T. Vallée, Environmental quality versus economic performance: A dynamic game approach, Optimal Control Applications and Methods, vol.101, issue.1, pp.29-46, 2011.
DOI : 10.1086/261888

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.
DOI : 10.1007/978-0-387-70914-7

C. Camacho, P. Barahona, and A. , Land use dynamics and the environment, Journal of Economic Dynamics and Control, vol.52, pp.96-118, 2015.
DOI : 10.1016/j.jedc.2014.11.013

URL : https://hal.archives-ouvertes.fr/halshs-00674020

S. Dinda, Environmental Kuznets Curve Hypothesis: A Survey, Ecological Economics, vol.49, issue.4, pp.431-455, 2004.
DOI : 10.1016/j.ecolecon.2004.02.011

K. J. Engel and R. Nagel, One-parameter semigroups for linear evolution equations, Semigroup Forum, vol.63, issue.2, 1995.
DOI : 10.1007/s002330010042

S. Faggian and F. Gozzi, ON THE DYNAMIC PROGRAMMING APPROACH FOR OPTIMAL CONTROL PROBLEMS OF PDE'S WITH AGE STRUCTURE, Mathematical Population Studies, vol.29, issue.3-4, pp.233-270, 2004.
DOI : 10.1137/0319011

G. Kallis, In defense of degrowth, Ecological Economics, vol.70, pp.870-880, 2011.

I. Karatzas and S. Shreve, Brownian Motion and Stochastic Calculus, Graduate Texts in Mathematics, vol.113, 1988.

L. Torre, D. Liuzzi, D. Marsiglio, and S. , Transboundary pollution externalities: Think globally, think locally?, 2018.

A. Lunardi, Analytic Semigroups and Optimal Regularity in Parabolic Problems, 1995.
DOI : 10.1007/978-3-0348-0557-5

F. Prieur, The environmental Kuznets curve in a world of irreversibility, Economic Theory, vol.14, issue.3, pp.57-90, 2009.
DOI : 10.1038/319574a0

I. Schumacher and B. Zou, Pollution perception: A challenge for intergenerational equity, Journal of Environmental Economics and Management, vol.55, issue.3, pp.296-309, 2008.
DOI : 10.1016/j.jeem.2007.12.001

R. Sengupta, CO2 emission-income relationship: policy approach for climate control, Pacific Asia Journal of Energy, vol.7, pp.207-229, 1997.

D. Stern, The Rise and Fall of the Environmental Kuznets Curve, World Development, vol.32, issue.8, pp.1419-1439, 2004.
DOI : 10.1016/j.worlddev.2004.03.004

N. Stokey, Are there limits to growth? International Economic Review, 22 R. Boucekkine, IMéRA. 2 Place Le Verrier, pp.1-31, 1999.
DOI : 10.2307/2527228