D. Acemoglu, Introduction to Modern Economic Growth, 2009.

N. Ahmed, Optimal control of a class of strongly nonlinear parabolic systems, Journal of Mathematical Analysis and Applications, vol.61, issue.1, pp.188-207, 1977.
DOI : 10.1016/0022-247X(77)90154-8

O. Attanasio and M. Browning, Consumption over the Life Cycle and over the Business Cycle, American Economic Review, vol.85, issue.5, pp.1118-1137, 1995.
DOI : 10.3386/w4453

O. Attanasio and G. Weber, Consumption Growth, the Interest Rate and Aggregation, The Review of Economic Studies, vol.60, issue.3, pp.631-649, 1993.
DOI : 10.2307/2298128

R. Baldwin and P. Martin, Agglomeration and regional growth, Handbook of Regional and Urban Economics, 2004.

R. Baldwin and P. Krugman, Agglomeration, integration and tax harmonisation, European Economic Review, vol.48, issue.1, pp.1-23, 2004.
DOI : 10.1016/S0014-2921(02)00318-5

R. Barro, G. Mankiw, and X. Sala-i-martin, Capital Mobility in Neoclassical Models of Growth, American Economic Review, vol.85, issue.1, pp.103-115, 1995.
DOI : 10.3386/w4206

J. Bebernes, K. Schmitt, and K. , On the existence of maximal and minimal solutions for parabolic partial differential equations, Proceedings of the American Mathematical Society, pp.211-218, 1979.
DOI : 10.1090/S0002-9939-1979-0516467-3

B. Bental, Is Capital Mobility Always Desirable? A Welfare Analysis of Portfolio Autarky in a Growing Economy, International Economic Review, vol.26, issue.1, pp.203-212, 1985.
DOI : 10.2307/2526535

A. Blanchet, P. Mossay, and P. Santambrogio, EXISTENCE AND UNIQUENESS OF EQUILIBRIUM FOR A SPATIAL MODEL OF SOCIAL INTERACTIONS*, International Economic Review, vol.80, issue.1, pp.31-59, 2016.
DOI : 10.3982/ECTA9986

R. Boucekkine, C. Camacho, and B. Zou, BRIDGING THE GAP BETWEEN GROWTH THEORY AND THE NEW ECONOMIC GEOGRAPHY: THE SPATIAL RAMSEY MODEL, Macroeconomic Dynamics, vol.13, issue.01, pp.20-45, 2009.
DOI : 10.1016/S0362-546X(98)00258-2
URL : https://hal.archives-ouvertes.fr/hal-00683809

R. Boucekkine, C. Camacho, and G. Fabbri, Spatial dynamics and convergence: The spatial AK model, Journal of Economic Theory, vol.148, issue.6, pp.2719-2736, 2013.
DOI : 10.1016/j.jet.2013.09.013
URL : https://hal.archives-ouvertes.fr/halshs-00827641

R. Boucekkine, C. Camacho, and G. Fabbri, On the optimal control of some parabolic partial differential equations arising in economics, Serdica Mathematical Journal, vol.39, pp.1001-1024, 2013.
URL : https://hal.archives-ouvertes.fr/halshs-00831042

P. Brito, The dynamics of growth and distribution in a spatially heterogenous world, WP, vol.13, 2004.

W. Brock and A. Xepapadeas, Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control, Journal of Economic Dynamics and Control, vol.32, issue.9, pp.2745-2787, 2008.
DOI : 10.1016/j.jedc.2007.08.005
URL : http://www.ssc.wisc.edu/econ/archive/wp2006-04r.pdf

C. Camacho and A. Perez-barahona, 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

C. Camacho, B. Zou, and M. Briani, On the dynamics of capital accumulation across space, European Journal of Operational Research, vol.186, issue.2, pp.451-465, 2008.
DOI : 10.1016/j.ejor.2007.02.031
URL : https://hal.archives-ouvertes.fr/hal-00683807

J. Chandra, V. Lakshmikantham, and S. Leela, A monotone method for infinite systems of nonlinear boundary value problems, Archive for Rational Mechanics and Analysis, vol.17, issue.2, pp.179-190, 1978.
DOI : 10.1007/BF00250791

R. Chetty, A New Method of Estimating Risk Aversion, American Economic Review, vol.96, issue.5, pp.1821-1834, 2006.
DOI : 10.1257/aer.96.5.1821

C. Costello and S. Polasky, Optimal harvesting of stochastic spatial resources, Journal of Environmental Economics and Management, vol.56, issue.1, pp.1-18, 2008.
DOI : 10.1016/j.jeem.2008.03.001

K. Desmet and E. Rossi-hansberg, Spatial growth and industry age, Journal of Economic Theory, vol.144, issue.6, pp.2477-2502, 2009.
DOI : 10.1016/j.jet.2008.11.001
URL : http://www.eco.uc3m.es/~desmet/papers/spatial.pdf

K. Desmet and E. Rossi-hansberg, ON SPATIAL DYNAMICS, Journal of Regional Science, vol.74, issue.1, pp.43-63, 2010.
DOI : 10.1017/CBO9780511805660.011

K. Desmet and E. Rossi-hansberg, Spatial Development, American Economic Review, vol.104, issue.4, pp.1211-1243, 2014.
DOI : 10.1257/aer.104.4.1211
URL : http://faculty.smu.edu/kdesmet/papers/SpatialIndia.pdf

K. Desmet and E. Rossi-hansberg, On the spatial economic impact of global warming, Journal of Urban Economics, vol.88, pp.16-37, 2015.
DOI : 10.1016/j.jue.2015.04.004

I. Ekeland, On the variational principle, Journal of Mathematical Analysis and Applications, vol.47, issue.2, pp.324-353, 1974.
DOI : 10.1016/0022-247X(74)90025-0
URL : https://doi.org/10.1016/0022-247x(74)90025-0

E. Union, Consolidated version of the Treaty on the Functioning of the European Union Part 3: Union policies and internal actions. Title IV: Free movement of persons, services and capital. Chapter 4: Capital and payments. Article 63 (ex Article 56 TEC), The Official Journal of the European Union, vol.115, pp.71-71, 2008.

G. Fabbri, Geographical structure and convergence: A note on geometry in spatial growth models, Journal of Economic Theory, vol.162, pp.114-136, 2016.
DOI : 10.1016/j.jet.2015.12.004
URL : https://hal.archives-ouvertes.fr/hal-01446208

H. Fattorini, Some remarks on Pontryagin's maximum principle for infinite dimensional control problemsf, Perspectives in Control Theory, pp.12-25, 1990.
DOI : 10.1007/978-1-4757-2105-8_2

A. Friedman, Convergence of Solutions of Parabolic Equations to a Steady State, Indiana University Mathematics Journal, vol.8, issue.1, pp.57-76, 1959.
DOI : 10.1512/iumj.1959.8.58004

O. Galor, Convergence? Inferences from Theoretical Models, The Economic Journal, vol.106, issue.437, pp.1056-1069, 1996.
DOI : 10.2307/2235378

J. Hadamard, Lectureson the Cauchy Problem in Linear Partial Differential Equations, 1923.

T. Kehoe, D. Levine, and P. Romer, Determinacy of equilibria in dynamic models with finitely many consumers, Journal of Economic Theory, vol.50, issue.1, pp.1-21, 1990.
DOI : 10.1016/0022-0531(90)90082-U

A. Kose, E. Prasad, K. Rogoff, and S. Wei, Financial Globalization and Economic Policies*, Handbook of Development Economics, 2010.
DOI : 10.1016/B978-0-444-52944-2.00003-3

J. Lions, Optimisation pour certaines classes d'´ equations d'´ evolution non linéaires, Annali di Matematica Pura ed Applicata, pp.275-294, 1966.
DOI : 10.1007/bf02414339

J. Lions, Sur quelquesprobì emes d'optimisation dans les equations d'evolution linéaires de type parabolique, Applications of functional Analysis to Optimization, Caianiello, 1966.

J. Lions, Some aspects of the optimal control of distributed parameter systems, Regional Conference Series in Applied Mathematics, 1972.
DOI : 10.1137/1.9781611970616

P. Mossay and P. Picard, On spatial equilibria in a social interaction model, Journal of Economic Theory, vol.146, issue.6, pp.2455-2477, 2011.
DOI : 10.1016/j.jet.2011.06.009

S. Patel, The Economic Distance Between Nations: Its Origin, Measurement and Outlook, The Economic Journal, vol.74, issue.293, pp.119-131, 1964.
DOI : 10.2307/2228116

D. Quah, Convergence empirics across economies with (some) capital mobility, Journal of Economic Growth, vol.84, issue.5, pp.95-124, 1996.
DOI : 10.1007/BF00163344

D. Quah, Twin Peaks: Growth and Convergence in Models of Distribution Dynamics, The Economic Journal, vol.106, issue.437, pp.1045-1055, 1996.
DOI : 10.2307/2235377

R. J. and H. Zidani, Pontryagin's principle for Time-Optimal Problems, Journal of Optimization Theory and Applications, vol.101, issue.2, pp.375-402, 1999.

D. Rodrik and T. Van-ypersele, Captial mobility, distributive conflict and international tax coordination, Journal of International Economics, vol.54, issue.1, pp.57-73, 2001.
DOI : 10.1016/S0022-1996(00)00088-X

J. Thisse, TOWARD A UNIFIED THEORY OF ECONOMIC GEOGRAPHY AND URBAN ECONOMICS, Journal of Regional Science, vol.47, issue.1, pp.281-296, 2010.
DOI : 10.1017/CBO9780511819902
URL : https://hal.archives-ouvertes.fr/halshs-00754476