-
1
-
-
78650409141
-
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations
-
MR2735074 (2011j:45008)
-
GUY BARLES, EMMANUEL CHASSEIGNE, and CYRIL IMBERT, Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations, J. Eur. Math. Soc. (JEMS) 13 (2011), no. 1, 1-26. http://dx.doi.org/10.4171/JEMS/242. MR2735074 (2011j:45008)
-
(2011)
J. Eur. Math. Soc. (JEMS)
, vol.13
, Issue.1
, pp. 1-26
-
-
Barles, G.1
Chasseigne, E.2
Imbert, C.3
-
2
-
-
43049183444
-
Second-order elliptic integro-differential equations: Viscosity solutions' theory revisited
-
MR2422079 (2009c:35102)
-
GUY BARLES and CYRIL IMBERT, Second-order elliptic integro-differential equations: viscosity solutions' theory revisited, Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 3, 567-585. http://dx.doi.org/10.1016/j.anihpc.2007.02.007. MR2422079 (2009c:35102)
-
(2008)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.25
, Issue.3
, pp. 567-585
-
-
Barles, G.1
Imbert, C.2
-
3
-
-
68749088340
-
Regularity results for stable-like operators
-
MR2555009 (2010k:47099)
-
RICHARD FRANKLIN BASS, Regularity results for stable-like operators, J. Funct. Anal. 257 (2009), no. 8, 2693-2722. http://dx.doi.org/10.1016/j.jfa.2009.05.012. MR2555009 (2010k:47099)
-
(2009)
J. Funct. Anal.
, vol.257
, Issue.8
, pp. 2693-2722
-
-
Bass, R.F.1
-
4
-
-
84755161167
-
Regularity of harmonic functions for a class of singular stable-like processes
-
MR2719417 (2011h:60115)
-
RICHARD FRANKLIN BASS and ZHEN-QING CHEN, Regularity of harmonic functions for a class of singular stable-like processes, Math. Z. 266 (2010), no. 3, 489-503. http://dx.doi.org/10.1007/s00209-009-0581-0. MR2719417 (2011h:60115)
-
(2010)
Math. Z.
, vol.266
, Issue.3
, pp. 489-503
-
-
Bass, R.F.1
Chen, Z.-Q.2
-
5
-
-
27744559009
-
Hölder continuity of harmonic functions with respect to operators of variable order
-
MR2180302 (2006i:31005)
-
RICHARD FRANKLIN BASS and MORITZ KASSMANN, Hölder continuity of harmonic functions with respect to operators of variable order, Comm. Partial Differential Equations 30 (2005), no. 7-9, 1249-1259. http://dx.doi.org/10.1080/03605300500257677. MR2180302 (2006i:31005)
-
(2005)
Comm. Partial Differential Equations
, vol.30
, Issue.7-9
, pp. 1249-1259
-
-
Bass, R.F.1
Kassmann, M.2
-
6
-
-
0141457561
-
Harnack inequalities for jump processes
-
MR1918242 (2003e:60194)
-
RICHARD FRANKLIN BASS and DAVID A. LEVIN, Harnack inequalities for jump processes, Potential Anal. 17 (2002), no. 4, 375-388. http://dx.doi.org/10.1023/A:1016378210944. MR1918242 (2003e:60194)
-
(2002)
Potential Anal.
, vol.17
, Issue.4
, pp. 375-388
-
-
Bass, R.F.1
Levin, D.A.2
-
7
-
-
84861004575
-
Non-local gradient dependent operators
-
MR2927356
-
CLAYTON BJORLAND, LUIS ÁNGEL CAFFARELLI, and ALESSIO FIGALLI, Non-local gradient dependent operators, Adv. Math. 230 (2012), no. 4-6, 1859-1894. http://dx.doi.org/10.1016/j.aim.2012.03.032. MR2927356
-
(2012)
Adv. Math.
, vol.230
, Issue.4-6
, pp. 1859-1894
-
-
Bjorland, C.1
Caffarelli, L.A.2
Figalli, A.3
-
8
-
-
15444362959
-
Harnack's inequality for stable Lévy processes
-
MR2137058 (2005m:31015)
-
KRZYSZTOF BOGDAN and PAWEŁ SZTONYK, Harnack's inequality for stable Lévy processes, Potential Anal. 22 (2005), no. 2, 133-150. http://dx.doi.org/10.1007/s11118-004-0590-x. MR2137058 (2005m:31015)
-
(2005)
Potential Anal.
, vol.22
, Issue.2
, pp. 133-150
-
-
Bogdan, K.1
Sztonyk, P.2
-
9
-
-
68049121967
-
Regularity theory for fully nonlinear integro-differential equations
-
MR2494809 (2010d:35376)
-
LUIS ÁNGEL CAFFARELLI and LUIS SILVESTRE, Regularity theory for fully nonlinear integro-differential equations, Comm. Pure Appl. Math. 62 (2009), no. 5, 597-638. http://dx.doi.org/10.1002/cpa.20274. MR2494809 (2010d:35376)
-
(2009)
Comm. Pure Appl. Math.
, vol.62
, Issue.5
, pp. 597-638
-
-
Caffarelli, L.A.1
Silvestre, L.2
-
10
-
-
80051771417
-
The Evans-Krylov theorem for nonlocal fully nonlinear equations
-
MR2831115
-
-, The Evans-Krylov theorem for nonlocal fully nonlinear equations, Ann. of Math. (2) 174 (2011), no. 2, 1163-1187. http://dx.doi.org/10.4007/annals.2011.174.2.9. MR2831115
-
(2011)
Ann. of Math. (2)
, vol.174
, Issue.2
, pp. 1163-1187
-
-
Caffarelli, L.A.1
Silvestre, L.2
-
11
-
-
79952706153
-
Regularity results for nonlocal equations by approximation
-
MR2781586 (2012f:35554)
-
-, Regularity results for nonlocal equations by approximation, Arch. Ration. Mech. Anal. 200 (2011), no. 1, 59-88. http://dx.doi.org/10.1007/s00205-010-0336-4. MR2781586 (2012f:35554)
-
(2011)
Arch. Ration. Mech. Anal.
, vol.200
, Issue.1
, pp. 59-88
-
-
Caffarelli, L.A.1
Silvestre, L.2
-
12
-
-
0002449458
-
Fully Nonlinear Elliptic Equations
-
American Mathematical Society, Providence, RI, MR1351007 (96h:35046
-
LUIS ÁNGEL CAFFARELLI and XAVIER CABRÉ, Fully Nonlinear Elliptic Equations, American Mathematical Society Colloquium Publications, vol. 43, American Mathematical Society, Providence, RI, 1995. MR1351007 (96h:35046)
-
(1995)
American Mathematical Society Colloquium Publications
, vol.43
-
-
Caffarelli, L.A.1
Cabré, X.2
-
14
-
-
84891902355
-
Regularity for solutions of non local parabolic equations
-
MR3148110
-
HÉCTOR CHANG LARA and GONZALO DÁVILA, Regularity for solutions of non local parabolic equations, Calc. Var. Partial Differential Equations 49 (2014), no. 1-2, 139-172. http://dx.doi.org/10.1007/s00526-012-0576-2. MR3148110
-
(2014)
Calc. Var. Partial Differential Equations
, vol.49
, Issue.1-2
, pp. 139-172
-
-
Lara, H.C.1
Dávila, G.2
-
15
-
-
84869218023
-
Regularity for solutions of nonlocal, nonsymmetric equations
-
MR2995098
-
-, Regularity for solutions of nonlocal, nonsymmetric equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 6, 833-859. http://dx.doi.org/10.1016/j.anihpc.2012.04.006. MR2995098
-
(2012)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.29
, Issue.6
, pp. 833-859
-
-
Lara, H.C.1
Dávila, G.2
-
16
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
MR1118699 (92j:35050)
-
MICHAEL GRAIN CRANDALL, HITOSHI ISHII, and PIERRE-LOUIS LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 1-67. http://dx.doi.org/10.1090/S0273-0979-1992-00266-5. MR1118699 (92j:35050)
-
(1992)
Bull. Amer. Math. Soc. (N.S.)
, vol.27
, Issue.1
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
17
-
-
0041625080
-
Elliptic Partial Differential Equations of Second Order
-
Springer-Verlag, Berlin, Reprint of the 1998 edition. MR1814364 (2001k:35004)
-
DAVID GILBARG and NEIL SIDNEY TRUDINGER, Elliptic Partial Differential Equations of Second Order, Classics in Mathematics, Springer-Verlag, Berlin, 2001. Reprint of the 1998 edition. MR1814364 (2001k:35004)
-
(2001)
Classics in Mathematics
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
18
-
-
84866415556
-
Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations
-
MR2968592
-
NESTOR GUILLEN and RUSSELL W. SCHWAB, Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations, Arch. Ration. Mech. Anal. 206 (2012), no. 1, 111-157. http://dx.doi.org/10.1007/s00205-012-0529-0. MR2968592
-
(2012)
Arch. Ration. Mech. Anal.
, vol.206
, Issue.1
, pp. 111-157
-
-
Guillen, N.1
Schwab, R.W.2
-
19
-
-
0002824461
-
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
-
MR1031377 (90m:35015)
-
HITOSHI ISHII and PIERRE LOUIS LIONS, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, J. Differential Equations 83 (1990), no. 1, 26-78. http://dx.doi.org/10.1016/0022-0396(90)90068-Z. MR1031377 (90m:35015)
-
(1990)
J. Differential Equations
, vol.83
, Issue.1
, pp. 26-78
-
-
Ishii, H.1
Lions, P.L.2
-
20
-
-
84869864924
-
Analysis of jump processes with nondegenerate jumping kernels
-
MR3003366
-
MORITZ KASSMANN and ANTE MIMICA, Analysis of jump processes with nondegenerate jumping kernels, Stochastic Process. Appl. 123 (2013), no. 2, 629-650. http://dx.doi.org/10.1016/j.spa.2012.09.016. MR3003366
-
(2013)
Stochastic Process. Appl.
, vol.123
, Issue.2
, pp. 629-650
-
-
Kassmann, M.1
Mimica, A.2
-
21
-
-
84902797260
-
Regularity results for nonlocal parabolic equations
-
MORITZ KASSMANN and RUSSELL W. SCHWAB, Regularity results for nonlocal parabolic equations, Riv. Mat. Univ. Parma 5 (2014), no. 1, 193-212.
-
(2014)
Riv. Mat. Univ. Parma
, vol.5
, Issue.1
, pp. 193-212
-
-
Kassmann, M.1
Schwab, R.W.2
-
22
-
-
84887105140
-
1,α interior regularity for nonlinear nonlocal elliptic equations with rough kernels
-
MR3169771
-
1,α interior regularity for nonlinear nonlocal elliptic equations with rough kernels, Comm. Partial Differential Equations 38 (2013), no. 12, 2081-2106. http://dx.doi.org/10.1080/03605302.2013.831990. MR3169771
-
(2013)
Comm. Partial Differential Equations
, vol.38
, Issue.12
, pp. 2081-2106
-
-
Kriventsov, D.1
-
23
-
-
84891316738
-
Controlled Diffusion Processes
-
Springer-Verlag, New York-Berlin, Translated from the Russian by A. B. Aries. MR601776 (82a:60062)
-
NICOLAI V. KRYLOV, Controlled Diffusion Processes, Stochastic Modelling and Applied Probability, vol. 14, Springer-Verlag, New York-Berlin, 1980. Translated from the Russian by A. B. Aries. MR601776 (82a:60062)
-
(1980)
Stochastic Modelling and Applied Probability
, vol.14
-
-
Krylov, N.V.1
-
24
-
-
0003233789
-
Foundations of Modern Potential Theory
-
Springer-Verlag, New York-Heidelberg, Translated from the Russian by A.P. Doohovskoy. MR0350027 (50 #2520)
-
NAUM S. LANDKOF, Foundations of Modern Potential Theory, Die Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 180, Springer-Verlag, New York-Heidelberg, 1972. Translated from the Russian by A.P. Doohovskoy. MR0350027 (50 #2520)
-
(1972)
Die Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
, vol.180
-
-
Landkof, N.S.1
-
26
-
-
79251483808
-
Periodic homogenization for nonlinear integro-differential equations
-
MR2733264 (2012d:35019)
-
RUSSELL W. SCHWAB, Periodic homogenization for nonlinear integro-differential equations, SIAM J. Math. Anal. 42 (2010), no. 6, 2652-2680. http://dx.doi.org/10.1137/080737897. MR2733264 (2012d:35019)
-
(2010)
SIAM J. Math. Anal.
, vol.42
, Issue.6
, pp. 2652-2680
-
-
Schwab, R.W.1
-
27
-
-
84872528029
-
Stochastic homogenization for some nonlinear integro-differential equations
-
MR3009077
-
-, Stochastic homogenization for some nonlinear integro-differential equations, Comm. Partial Differential Equations 38 (2013), no. 2, 171-198. http://dx.doi.org/10.1080/03605302.2012.741176. MR3009077
-
(2013)
Comm. Partial Differential Equations
, vol.38
, Issue.2
, pp. 171-198
-
-
Schwab, R.W.1
-
28
-
-
33747032243
-
Hölder estimates for solutions of integro-differential equations like the fractional Laplace
-
MR2244602 (2007b:45022)
-
LUIS SILVESTRE, Hölder estimates for solutions of integro-differential equations like the fractional Laplace, Indiana Univ. Math. J. 55 (2006), no. 3, 1155-1174. http://dx.doi.org/10.1512/iumj.2006.55.2706. MR2244602 (2007b:45022)
-
(2006)
Indiana Univ. Math. J.
, vol.55
, Issue.3
, pp. 1155-1174
-
-
Silvestre, L.1
-
29
-
-
0742271343
-
Harnack inequality for some classes of Markov processes
-
MR2031452 (2004j:60158)
-
RENMING SONG and ZORAN VONDRAČEK, Harnack inequality for some classes of Markov processes, Math. Z. 246 (2004), no. 1-2, 177-202. http://dx.doi.org/10.1007/s00209-003-0594-z. MR2031452 (2004j:60158)
-
(2004)
Math. Z.
, vol.246
, Issue.1-2
, pp. 177-202
-
-
Song, R.1
Vondraček, Z.2
|