Boundary Harnack principle and Martin boundary for a uniform domain, Journal of the Mathematical Society of Japan, vol.53, issue.1, pp.119-145, 2001. ,
DOI : 10.2969/jmsj/05310119
Fractional semi-linear parabolic equations with unbounded data, Transactions of the American Mathematical Society, vol.361, issue.05, pp.361-2527, 2009. ,
DOI : 10.1090/S0002-9947-08-04758-2
URL : https://hal.archives-ouvertes.fr/hal-00144548
Principe de Harnack ?? la fronti??re et th??or??me de Fatou pour un op??rateur elliptique dans un domaine lipschitzien, Annales de l???institut Fourier, vol.28, issue.4, pp.169-213, 1978. ,
DOI : 10.5802/aif.720
Far field asymptotics of solutions to convection equation with anomalous diffusion, Journal of Evolution Equations, vol.8, issue.2, pp.307-326, 2008. ,
DOI : 10.1007/s00028-008-0356-9
URL : https://hal.archives-ouvertes.fr/hal-00204102
Representation of ?-harmonic functions in Lipschitz domains, Hiroshima Math. J, vol.29, issue.2, pp.227-243, 1999. ,
Potential analysis of stable processes and its extensions, Lecture Notes in Mathematics, vol.1980, 1980. ,
DOI : 10.1007/978-3-642-02141-1
URL : https://hal.archives-ouvertes.fr/hal-00469763
Estimates of Heat Kernel of Fractional Laplacian Perturbed by Gradient Operators, Communications in Mathematical Physics, vol.16, issue.4, pp.179-198, 2007. ,
DOI : 10.1007/s00220-006-0178-y
Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient. Potential Anal., DOI10, 2011. ,
Estimates and structure of ?harmonic functions. Probab. Theory Related Fields, pp.345-381, 2008. ,
Gradient estimates for harmonic and q-harmonic functions of symmetric stable processes, Illinois J. Math, vol.46, issue.2, pp.541-556, 2002. ,
On exit times of Levy-driven Ornstein???Uhlenbeck processes, Statistics & Probability Letters, vol.78, issue.12, pp.1517-1525, 2008. ,
DOI : 10.1016/j.spl.2008.01.017
Variational problems for free boundaries for the fractional Laplacian, J. Eur. Math. Soc, vol.12, issue.5, pp.1151-1179, 2010. ,
Estimates on Green functions and Poisson kernels for symmetric stable processes, Mathematische Annalen, vol.312, issue.3, p.465501, 1998. ,
DOI : 10.1007/s002080050232
Martin Boundary and Integral Representation for Harmonic Functions of Symmetric Stable Processes, Journal of Functional Analysis, vol.159, issue.1, p.267294, 1998. ,
DOI : 10.1006/jfan.1998.3304
Conditional transformation of drift formula and potential theory for 1/2?+b(???)????, Communications in Mathematical Physics, vol.116, issue.1 ,
DOI : 10.1007/BF01225375
Classical Potential Theory and Its Probabilistic Counterpart, 1984. ,
DOI : 10.1007/978-1-4612-5208-5
Decay of mass for nonlinear equation with fractional Laplacian, Monatshefte f??r Mathematik, vol.12, issue.4, pp.375-384, 2010. ,
DOI : 10.1007/s00605-009-0093-3
URL : https://hal.archives-ouvertes.fr/hal-00333433
Estimates of Green functions for some perturbations of fractional Laplacian, Illinois J. Math, vol.51, issue.4, pp.1409-1438, 2007. ,
Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms, Publicacions Matem??tiques, vol.49, issue.1, pp.159-177, 2005. ,
DOI : 10.5565/PUBLMAT_49105_07
The estimates for the Green function in Lipschitz domains for the symmetric stable processes, Probab. Math. Statist. Acta Univ. Wratislav. No, vol.22, issue.2, p.419441, 2002. ,
The estimates of the mean rst exit time from a ball for the ?-stable Ornstein-Uhlenbeck processes. Stochastic Process, Appl, vol.117, issue.10, pp.1540-1560, 2007. ,
On Harnack inequality for ??-stable Ornstein???Uhlenbeck processes, Mathematische Zeitschrift, vol.246, issue.1???2, pp.609-628, 2008. ,
DOI : 10.1007/s00209-007-0188-2
Boundary value problems on Lipschitz domains, Studies in partial dierential equations, pp.1-68, 1982. ,
Relative Fatou's theorem for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>???</mml:mo><mml:mi mathvariant="normal">??</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>??</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-harmonic functions in bounded ??-fat open sets, Journal of Functional Analysis, vol.234, issue.1, pp.70-105, 2006. ,
DOI : 10.1016/j.jfa.2005.12.001
Generalized 3G theorem and application to relativistic stable process on non-smooth open sets, Journal of Functional Analysis, vol.246, issue.1, pp.113-143, 2007. ,
DOI : 10.1016/j.jfa.2007.02.001
Two-sided estimates on the density of Brownian motion with singular drift, Illinois J. Math, vol.50, issue.14, pp.635-688, 2006. ,
Boundary Behavior of Harmonic Functions for??Truncated Stable Processes, Journal of Theoretical Probability, vol.168, issue.2, pp.287-321, 2008. ,
DOI : 10.1007/s10959-008-0145-y
Properties of Green function of symmetric stable processes ,
Hardy spaces for the Laplacian with lower order perturbations, Studia Mathematica, vol.204, issue.1, pp.39-62, 2011. ,
DOI : 10.4064/sm204-1-3
Relative Fatou theorem for ?-harmonic functions in Lipschitz domains, Illinois J. Math, vol.48, issue.3, pp.977-998, 2004. ,
Hardy spaces for ??-harmonic functions in regular domains, Mathematische Zeitschrift, vol.28, issue.4, pp.173-186, 2010. ,
DOI : 10.1007/s00209-009-0509-8
Martin representation for ?-harmonic functions, Probab. Math. Statist. Wratislav. No, vol.20, issue.2246, pp.75-91, 2000. ,
Martingales and rst-exit times for the Ornstein-Uhlenbeck process with jumps Theory Probab, Appl, vol.48, pp.340-358, 2003. ,
Singular integrals and dierentiability properties of functions, 1970. ,
Boundary behavior of holomorphic functions of several complex variables, 1972. ,
DOI : 10.1515/9781400871261
On the boundary behavior of solutions to a class of elliptic partial differential equations, Arkiv f??r Matematik, vol.6, issue.6, pp.485-533, 1966. ,
DOI : 10.1007/BF02591926
Comparisons of kernel functions boundary Harnack principle and relative Fatou theorem on Lipschitz domains, Annales de l???institut Fourier, vol.28, issue.4, pp.147-167, 1978. ,
DOI : 10.5802/aif.719