-
1
-
-
70350654241
-
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
-
Abels H., Kassmann M.: The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka J. Math. 46(3), 661-683 (2009).
-
(2009)
Osaka J. Math.
, vol.46
, Issue.3
, pp. 661-683
-
-
Abels, H.1
Kassmann, M.2
-
2
-
-
84949351553
-
Équations d'Hamilton-Jacobi du premier ordre avec termes intégro-différentiels. I. Unicité des solutions de viscosité
-
Awatif S.: Équations d'Hamilton-Jacobi du premier ordre avec termes intégro-différentiels. I. Unicité des solutions de viscosité. Commum. Partial Differ. Equ. 16(6-7), 1057-1074 (1991).
-
(1991)
Commum. Partial Differ. Equ.
, vol.16
, Issue.6-7
, pp. 1057-1074
-
-
Awatif, S.1
-
3
-
-
42549114402
-
On the dirichlet problem for second-order elliptic integro-differential equations
-
Barles G., Chasseigne E., Imbert C.: On the dirichlet problem for second-order elliptic integro-differential equations. Indiana Univ. Math. J. 57(1), 213-246 (2008).
-
(2008)
Indiana Univ. Math. J.
, vol.57
, Issue.1
, pp. 213-246
-
-
Barles, G.1
Chasseigne, E.2
Imbert, C.3
-
4
-
-
78650409141
-
Hölder continuity of solutions of second-order elliptic integro-differential equations
-
Barles G., Chasseigne E., Imbert C.: Hölder continuity of solutions of second-order elliptic integro-differential equations. J. Eur. Math. Soc. 13(1), 1-26 (2011).
-
(2011)
J. Eur. Math. Soc.
, vol.13
, Issue.1
, pp. 1-26
-
-
Barles, G.1
Chasseigne, E.2
Imbert, C.3
-
5
-
-
43049183444
-
Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
-
Barles G., Imbert C.: Second-order elliptic integro-differential equations: viscosity solutions' theory revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(3), 567-585 (2008).
-
(2008)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.25
, Issue.3
, pp. 567-585
-
-
Barles, G.1
Imbert, C.2
-
6
-
-
62549135472
-
Non-local Dirichlet forms and symmetric jump processes
-
Barlow M. T., Bass R. F., Chen Z.-Q., Kassmann M.: Non-local Dirichlet forms and symmetric jump processes. Trans. Am. Math. Soc. 361(4), 1963-1999 (2009).
-
(2009)
Trans. Am. Math. Soc.
, vol.361
, Issue.4
, pp. 1963-1999
-
-
Barlow, M.T.1
Bass, R.F.2
Chen, Z.-Q.3
Kassmann, M.4
-
7
-
-
13844296740
-
Harnack inequalities for non-local operators of variable order
-
(electronic)
-
Bass, R. F., Kassmann, M.: Harnack inequalities for non-local operators of variable order. Trans. Am. Math. Soc. 357(2), 837-850 (electronic) (2005).
-
(2005)
Trans. Am. Math. Soc.
, vol.357
, Issue.2
, pp. 837-850
-
-
Bass, R.F.1
Kassmann, M.2
-
8
-
-
27744559009
-
Hölder continuity of harmonic functions with respect to operators of variable order. Commun
-
Bass R. F., Kassmann M.: Hölder continuity of harmonic functions with respect to operators of variable order. Commun. Partial Differ. Equ. 30(7-9), 1249-1259 (2005).
-
(2005)
Partial Differ. Equ.
, vol.30
, Issue.7-9
, pp. 1249-1259
-
-
Bass, R.F.1
Kassmann, M.2
-
9
-
-
0141457561
-
Harnack inequalities for jump processes
-
Bass R. F., Levin D. A.: Harnack inequalities for jump processes. Potential Anal. 17(4), 375-388 (2002).
-
(2002)
Potential Anal.
, vol.17
, Issue.4
, pp. 375-388
-
-
Bass, R.F.1
Levin, D.A.2
-
10
-
-
0035998083
-
Transition probabilities for symmetric jump processes
-
(electronic)
-
Bass, R. F., Levin, D. A.: Transition probabilities for symmetric jump processes. Trans. Am. Math. Soc. 354(7), 2933-2953 (electronic) (2002).
-
(2002)
Trans. Am. Math. Soc.
, vol.354
, Issue.7
, pp. 2933-2953
-
-
Bass, R.F.1
Levin, D.A.2
-
12
-
-
0016038240
-
The smoothness of solutions to nonlinear variational inequalities
-
Brézis H., Kinderlehrer D.: The smoothness of solutions to nonlinear variational inequalities. Indiana Univ. Math. J. 23, 831-844 (1973/1974).
-
(1973)
Indiana Univ. Math. J.
, vol.23
, pp. 831-844
-
-
Brézis, H.1
Kinderlehrer, D.2
-
13
-
-
0040059911
-
On viscosity solutions of fully nonlinear equations with measurable ingredients
-
Caffarelli L., Crandall M. G., Kocan M., Swi{ogonek}ch A.: On viscosity solutions of fully nonlinear equations with measurable ingredients. Commun. Pure Appl. Math. 49(4), 365-397 (1996).
-
(1996)
Commun. Pure Appl. Math.
, vol.49
, Issue.4
, pp. 365-397
-
-
Caffarelli, L.1
Crandall, M.G.2
Kocan, M.3
Swich, A.4
-
16
-
-
80051771417
-
The Evans-Krylov theorem for non local fully non linear equations
-
(to appear)
-
Caffarelli, L. A., Silvestre, L.: The Evans-Krylov theorem for non local fully non linear equations. Ann. Math. (2) (2012) (to appear).
-
(2012)
Ann. Math.
, vol.2
-
-
Caffarelli, L.A.1
Silvestre, L.2
-
17
-
-
79952706153
-
Regularity results for nonlocal equations by approximation
-
(to appear)
-
Caffarelli, L. A., Silvestre, L.: Regularity results for nonlocal equations by approximation. Arch. Rational. Mech. Anal. (2012) (to appear).
-
(2012)
Arch. Rational. Mech. Anal.
-
-
Caffarelli, L.A.1
Silvestre, L.2
-
18
-
-
68049121967
-
Regularity theory for fully nonlinear integro-differential equations
-
Caffarelli L., Silvestre L.: Regularity theory for fully nonlinear integro-differential equations. Commun. Pure Appl. Math. 62(5), 597-638 (2009).
-
(2009)
Commun. Pure Appl. Math.
, vol.62
, Issue.5
, pp. 597-638
-
-
Caffarelli, L.1
Silvestre, L.2
-
20
-
-
0000898166
-
Interior a priori estimates for solutions of fully nonlinear equations
-
Caffarelli, L. A.: Interior a priori estimates for solutions of fully nonlinear equations. Ann. Math. (2) 130(1), 189-213 (1989).
-
(1989)
Ann. Math. (2)
, vol.130
, Issue.1
, pp. 189-213
-
-
Caffarelli, L.A.1
-
21
-
-
84881031051
-
-
American Mathematical Society Colloquium Publications. American Mathematical Society, Providence
-
Caffarelli, L. A., Cabré, X.: Fully Nonlinear Elliptic Equations Vol. 43 of American Mathematical Society Colloquium Publications. American Mathematical Society, Providence, 1995.
-
(1995)
Fully Nonlinear Elliptic Equations
, vol.43
-
-
Caffarelli, L.A.1
Cabré, X.2
-
22
-
-
13844316338
-
Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Commun
-
Caffarelli L. A., Souganidis P. E., Wang L.: Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media. Commun. Pure Appl. Math. 58(3), 319-361 (2005).
-
(2005)
Pure Appl. Math.
, vol.58
, Issue.3
, pp. 319-361
-
-
Caffarelli, L.A.1
Souganidis, P.E.2
Wang, L.3
-
23
-
-
1342318409
-
-
Chapman & Hall/CRC Financial Mathematics Series. Chapman & Hall/CRC, Boca Raton
-
Cont, R., Tankov, P.: Financial Modelling with Jump Processes. Chapman & Hall/CRC Financial Mathematics Series. Chapman & Hall/CRC, Boca Raton, 2004.
-
(2004)
Financial Modelling with Jump Processes
-
-
Cont, R.1
Tankov, P.2
-
24
-
-
21244498895
-
Integro-differential equations for option prices in exponential Lévy models
-
Cont R., Voltchkova E.: Integro-differential equations for option prices in exponential Lévy models. Finance Stoch. 9(3), 299-325 (2005).
-
(2005)
Finance Stoch.
, vol.9
, Issue.3
, pp. 299-325
-
-
Cont, R.1
Voltchkova, E.2
-
25
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
Crandall M. G., Ishii H., Lions P.-L.: User's guide to viscosity solutions of second order partial differential equations. Bull. Am. Math. Soc. (N. S.) 27(1), 1-67 (1992).
-
(1992)
Bull. Am. Math. Soc. (N.S.)
, vol.27
, Issue.1
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
26
-
-
0000078158
-
An inequality for hyperbolic polynomials
-
Garding L.: An inequality for hyperbolic polynomials. J. Math. Mech. 8, 957-965 (1959).
-
(1959)
J. Math. Mech.
, vol.8
, pp. 957-965
-
-
Garding, L.1
-
27
-
-
0031116136
-
Phase segregation dynamics in particle systems with long range interactions. I. Macroscopic limits
-
Giacomin G., Lebowitz J. L.: Phase segregation dynamics in particle systems with long range interactions. I. Macroscopic limits. J. Stat. Phys. 87(1-2), 37-61 (1997).
-
(1997)
J. Stat. Phys.
, vol.87
, Issue.1-2
, pp. 37-61
-
-
Giacomin, G.1
Lebowitz, J.L.2
-
29
-
-
57049132103
-
Nonlocal operators with applications to image processing
-
Gilboa G., Osher S.: Nonlocal operators with applications to image processing. Multiscale Model. Simul. 7(3), 1005-1028 (2008).
-
(2008)
Multiscale Model. Simul.
, vol.7
, Issue.3
, pp. 1005-1028
-
-
Gilboa, G.1
Osher, S.2
-
30
-
-
84966259849
-
A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations
-
Jensen R., Lions P.-L., Souganidis P. E.: A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations. Proc. Am. Math. Soc. 102(4), 975-978 (1988).
-
(1988)
Proc. Am. Math. Soc.
, vol.102
, Issue.4
, pp. 975-978
-
-
Jensen, R.1
Lions, P.-L.2
Souganidis, P.E.3
-
31
-
-
84866371999
-
-
personal communication
-
Kassmann, M.: personal communication (2010).
-
(2010)
-
-
Kassmann, M.1
-
34
-
-
0003643984
-
-
Springer, New York, (Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180)
-
Landkof, N. S.: Foundations of Modern Potential Theory. Springer, New York, 1972 (Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180).
-
(1972)
Foundations of Modern Potential Theory
-
-
Landkof, N.S.1
-
35
-
-
51249173208
-
A remark on regularization in Hilbert spaces
-
Lasry J.-M., Lions P.-L.: A remark on regularization in Hilbert spaces. Israel J. Math. 55(3), 257-266 (1986).
-
(1986)
Israel J. Math.
, vol.55
, Issue.3
, pp. 257-266
-
-
Lasry, J.-M.1
Lions, P.-L.2
-
36
-
-
34250457343
-
On existence and smoothness of solutions of some non-coercive variational inequalities. Arch
-
Lewy H., Stampacchia G.: On existence and smoothness of solutions of some non-coercive variational inequalities. Arch. Rational Mech. Anal. 41, 241-253 (1971).
-
(1971)
Rational Mech. Anal.
, vol.41
, pp. 241-253
-
-
Lewy, H.1
Stampacchia, G.2
-
37
-
-
84968521780
-
p-estimates for elliptic equations of nondivergent type
-
p-estimates for elliptic equations of nondivergent type. Proc. Am. Math. Soc. 96(3), 447-451 (1986).
-
(1986)
Proc. Am. Math. Soc.
, vol.96
, Issue.3
, pp. 447-451
-
-
Lin, F.-H.1
-
38
-
-
44349176723
-
The convex envelope is the solution of a nonlinear obstacle problem
-
(electronic)
-
Oberman A. M.: The convex envelope is the solution of a nonlinear obstacle problem. Proc. Am. Math. Soc. 135(6), 1689-1694 (electronic)(2007).
-
(2007)
Proc. Am. Math. Soc.
, vol.135
, Issue.6
, pp. 1689-1694
-
-
Oberman, A.M.1
-
39
-
-
0031677847
-
Optimal stopping of controlled jump diffusion processes: a viscosity solution approach
-
(electronic)
-
Pham H.: Optimal stopping of controlled jump diffusion processes: a viscosity solution approach. J. Math. Syst. Estim. Control8(1), 27 (electronic) (1998).
-
(1998)
J. Math. Syst. Estim. Control
, vol.8
, Issue.1
, pp. 27
-
-
Pham, H.1
-
40
-
-
79251483808
-
Periodic homogenization for nonlinear integro-differential equations
-
Schwab R. W.: Periodic homogenization for nonlinear integro-differential equations. SIAM J. Math. Anal. 42(6), 2652-2680 (2010).
-
(2010)
SIAM J. Math. Anal.
, vol.42
, Issue.6
, pp. 2652-2680
-
-
Schwab, R.W.1
-
42
-
-
33747032243
-
Hölder estimates for solutions of integro-differential equations like the fractional Laplace. Indiana Univ
-
Silvestre L.: Hölder estimates for solutions of integro-differential equations like the fractional Laplace. Indiana Univ. Math. J. 55(3), 1155-1174 (2006).
-
(2006)
Math. J.
, vol.55
, Issue.3
, pp. 1155-1174
-
-
Silvestre, L.1
-
43
-
-
33751514593
-
Regularity of the obstacle problem for a fractional power of the Laplace operator
-
Silvestre L.: Regularity of the obstacle problem for a fractional power of the Laplace operator. Commun. Pure Appl. Math. 60(1), 67-112 (2007).
-
(2007)
Commun. Pure Appl. Math.
, vol.60
, Issue.1
, pp. 67-112
-
-
Silvestre, L.1
-
44
-
-
0022806544
-
Optimal control with state-space constraint. II. SIAM J
-
Soner H. M.: Optimal control with state-space constraint. II. SIAM J. Control Optim. 24(6), 1110-1122 (1986).
-
(1986)
Control Optim.
, vol.24
, Issue.6
, pp. 1110-1122
-
-
Soner, H.M.1
-
45
-
-
11544313334
-
Optimal control of jump-Markov processes and viscosity solutions
-
Stochastic differential systems, stochastic control theory and applications (Minneapolis, MN, 1986), IMA Springer, New York
-
Soner, H. M.: Optimal control of jump-Markov processes and viscosity solutions. In: Stochastic differential systems, stochastic control theory and applications (Minneapolis, MN, 1986), Vol. 10 IMA Vol. Math. Appl., pp. 501-511. Springer, New York, 1988.
-
(1988)
Math. Appl.
, vol.10
, pp. 501-511
-
-
Soner, H.M.1
|