Viscosity Solutions of Nonlinear Integro-Differential Equations Annales de L'I.H.P., section C, pp.293-317, 1996. ,
On the Strong Maximum Principle for Fully Nonlinear Degenerate Elliptic Equations Arch, Math, vol.73, issue.4, pp.276-285, 1999. ,
Solutions de Viscosite des Equations de Hamilton-Jacobi Collection Mathematiques et Applications, de la SIAM, vol.17, 1994. ,
A Short Proof of the C 0,? ?regularity of Viscosity Subsolutions for Superquadratic Viscous Hamilton-Jacobi Equations and Applications Nonlinear Analysis, pp.31-47, 2010. ,
Lipschitz regularity of solutions for mixed integro-differential equations, Journal of Differential Equations, vol.252, issue.11, pp.6012-6060, 2012. ,
DOI : 10.1016/j.jde.2012.02.013
URL : https://hal.archives-ouvertes.fr/hal-00608848
Large Time Behavior of Periodic Viscosity Solutions for Uniformly Elliptic Integro-Differential Equations Preprint ,
Jakobsen On Neumann type problems for nonlocal equations set in a half space ,
On the Dirichlet Problem for Second Order Elliptic Integro-Differential Equations Indiana U, Math. Journal, 2008. ,
Second-order Eliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited, IHP Anal. Non Linéare, vol.25, issue.3, pp.567-585, 2008. ,
DOI : 10.1016/j.anihpc.2007.02.007
URL : http://doi.org/10.1016/j.anihpc.2007.02.007
Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations, SIAM Journal on Mathematical Analysis, vol.32, issue.6, pp.1311-1323, 2001. ,
DOI : 10.1137/S0036141000369344
Censored stable processes, Probability Theory and Related Fields, vol.127, issue.1, pp.89-152, 2003. ,
DOI : 10.1007/s00440-003-0275-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.4703
Regularity theory for fully nonlinear integro-differential equations, Communications on Pure and Applied Mathematics, vol.246, issue.1, pp.597-638, 2009. ,
DOI : 10.1002/cpa.20274
H??lder estimates for degenerate elliptic equations with coercive Hamiltonians, Transactions of the American Mathematical Society, vol.362, issue.9, pp.4511-4536, 2010. ,
DOI : 10.1090/S0002-9947-10-04807-5
Hölder Estimates in Space-Time for Viscosity Solutions of Hamilton, Jacobi Equations CPAM, vol.63, issue.5, pp.590-629, 2010. ,
H??lder Regularity for Viscosity Solutions of Fully Nonlinear, Local or Nonlocal, Hamilton???Jacobi Equations with Superquadratic Growth in the Gradient, SIAM Journal on Control and Optimization, vol.49, issue.2, pp.555-573, 2011. ,
DOI : 10.1137/100784400
The Dirichlet problem for some nonlocal diffusion equations, Differential Integral Equations, vol.20, issue.12, p.1404, 1389. ,
URL : https://hal.archives-ouvertes.fr/hal-00132526
On the Strong Maximum Principle for Second Order Nonlinear Parabolic Integro-Differential Equations Advances in Diff, Equations, vol.17, pp.635-671, 2012. ,
Maximum principles, sliding techniques and applications to nonlocal equations, Electronic Journal of Differential Equations, vol.200723, issue.68 1, 2007. ,
Remarks on the Strong Maximum Principle for Nonlocal Operators Electron, J. Differential Equations, vol.10, issue.66, 2008. ,
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
COMPARISON RESULTS FOR QUASILINEAR EQUATIONS IN ANNULAR DOMAINS AND APPLICATIONS1*, Communications in Partial Differential Equations, vol.24, issue.1-2, pp.283-323, 2002. ,
DOI : 10.1006/jdeq.1994.1162
Hitchhiker's Guide to the Fractional Sobolev Spaces Bull, Sci. Math, vol.136, issue.5, pp.521-573, 2012. ,
Dirichlet forms and symmetric Markov processes, de Grueter Studies in Mathematics, vol.19, 1994. ,
DOI : 10.1515/9783110889741
Integration by Parts Formula for Regional Fractional Laplacian, Communications in Mathematical Physics, vol.71, issue.11???12, pp.289-329, 2006. ,
DOI : 10.1007/s00220-006-0054-9
Reflected symmetric ? stable process and regional fractional Laplacian. Probab. Theory Relat, pp.649-694, 2006. ,
DOI : 10.1007/s00440-005-0438-3
Existence and Uniqueness of Solutions of Hamilton-Jacobi Equations, Funkcialaj Ekvacioj, vol.29, pp.167-188, 1986. ,
A class of integral equations and approximation of p-Laplace equations, Calculus of Variations and Partial Differential Equations, vol.51, issue.1, pp.485-522, 2010. ,
DOI : 10.1007/s00526-009-0274-x
Viscosity Solutions of Fully Nonlinear Second-Order Elliptic Partial Differential Equations J. Differential Equations, pp.26-78, 1990. ,
Pseudo differential operators and Markov process. Vol III . Markov process and Applications Imperial College Press, 2005. ,
DOI : 10.1142/p395
Weak convergence of censored and reflected stable processes. Stochastic Process, Appl, vol.116, issue.12, pp.1792-1814, 2006. ,
A Beginner's Guide to the Theory of Viscosity Solutions, Math. Soc. of Japan, 2004. ,
DOI : 10.2969/msjmemoirs/013020000
Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints, Mathematische Annalen, vol.56, issue.4, pp.583-630, 1989. ,
DOI : 10.1007/BF01442856
Unicité des solutions de viscosité, Comm. Partial Differential Equations, vol.16, pp.1057-1074, 1991. ,
Existence de solutions de viscosité, Comm. Partial Differential Equations, vol.16, pp.1075-1093, 1991. ,
Large Time Behavior of Solutions of Viscous Hamilton-Jacobi Equations with Superquadratic Hamiltonian Asymptot, Anal, vol.66, pp.161-186, 2010. ,
Existence and Uniqueness for Integro-Differential Equations with Dominating Drift Terms, Communications in Partial Differential Equations, vol.77, issue.8 ,
DOI : 10.1137/0324067
URL : https://hal.archives-ouvertes.fr/hal-00822724