-
1
-
-
27844463496
-
Lévy processes—from probability to finance and quantum groups
-
D. Applebaum, Lévy processes—from probability to finance and quantum groups, Notices Amer. Math. Soc., 51 (2004), pp. 1336–1347.
-
(2004)
Notices Amer. Math. Soc.
, vol.51
, pp. 1336-1347
-
-
Applebaum, D.1
-
2
-
-
0041901646
-
-
2nd ed., Cambridge Stud. Adv. Math. Cambridge University Press, Cambridge, UK
-
D. Applebaum, Lévy Processes and Stochastic Calculus, 2nd ed., Cambridge Stud. Adv. Math. 116, Cambridge University Press, Cambridge, UK, 2009.
-
(2009)
Lévy Processes and Stochastic Calculus
, vol.116
-
-
Applebaum, D.1
-
3
-
-
85059082568
-
Uniqueness of solutions in mean field games with several populations and Neumann conditions
-
Springer INdaM Ser. Springer, Cham
-
M. Bardi and M. Cirant, Uniqueness of solutions in mean field games with several populations and Neumann conditions, in PDE Models for Multi-Agent Phenomena, Springer INdaM Ser. 28, Springer, Cham, 2018, pp. 1–20.
-
(2018)
PDE Models for Multi-Agent Phenomena
, vol.28
, pp. 1-20
-
-
Bardi, M.1
Cirant, M.2
-
4
-
-
85057985724
-
On non-uniqueness and uniqueness of solutions in finite-horizon mean field games
-
to appear
-
M. Bardi and M. Fisher, On non-uniqueness and uniqueness of solutions in finite-horizon mean field games, ESAIM Control Optim. Calc. Var., to appear.
-
ESAIM Control Optim. Calc. Var.
-
-
Bardi, M.1
Fisher, M.2
-
5
-
-
0004234640
-
Interpolation spaces. An introduction
-
Springer-Verlag, Berlin, New York
-
J. Bergh and J. Löfström, Interpolation Spaces. An Introduction, Grundlehren Math. Wiss. 223, Springer-Verlag, Berlin, New York, 1976.
-
(1976)
Grundlehren Math. Wiss.
, vol.223
-
-
Bergh, J.1
Löfström, J.2
-
6
-
-
4043059348
-
Lévy Processes
-
Cambridge University Press, Cambridge, UK
-
J. Bertoin, Lévy Processes, Cambridge Tracts in Math. 121, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
Cambridge Tracts in Math
, vol.121
-
-
Bertoin, J.1
-
7
-
-
84986289219
-
Fokker-Planck-Kolmogorov equations
-
American Mathematical Society, Providence, RI
-
V. I. Bogachev, N. V. Krylov, M. Röckner, and S. V. Shaposhnikov, Fokker-Planck-Kolmogorov Equations, Math. Surveys Monogr. 207, American Mathematical Society, Providence, RI, 2015.
-
(2015)
Math. Surveys Monogr.
, vol.207
-
-
Bogachev, V.I.1
Krylov, N.V.2
Röckner, M.3
Shaposhnikov, S.V.4
-
8
-
-
84882284973
-
Regularity of solutions to the parabolic fractional obstacle problem
-
L. Caffarelli and A. Figalli, Regularity of solutions to the parabolic fractional obstacle problem, J. Reine Angew. Math., 680 (2013), pp. 191–233.
-
(2013)
J. Reine Angew. Math.
, vol.680
, pp. 191-233
-
-
Caffarelli, L.1
Figalli, A.2
-
9
-
-
0010858699
-
Semiconcave functions, Hamilton-Jacobi equations, and optimal control
-
Birkhäuser Boston, Boston, MA
-
P. Cannarsa and C. Sinestrari, Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control, Progr. Nonlinear Differential Equations Appl. 58, Birkhäuser Boston, Boston, MA, 2004.
-
(2004)
Progr. Nonlinear Differential Equations Appl.
, vol.58
-
-
Cannarsa, P.1
Sinestrari, C.2
-
12
-
-
84942369075
-
Second order mean field games with degenerate diffusion and local coupling
-
P. Cardaliaguet, P. J. Graber, A. Porretta, and D. Tonon, Second order mean field games with degenerate diffusion and local coupling, NoDEA Nonlinear Differential Equations Appl., 22 (2015), pp. 1287–1317.
-
(2015)
NoDEA Nonlinear Differential Equations Appl
, vol.22
, pp. 1287-1317
-
-
Cardaliaguet, P.1
Graber, P.J.2
Porretta, A.3
Tonon, D.4
-
13
-
-
84944351238
-
Sobolev regularity for the first order Hamilton-Jacobi equation
-
P. Cardaliaguet, A. Porretta, and D. Tonon, Sobolev regularity for the first order Hamilton-Jacobi equation, Calc. Var. Partial Differential Equations, 54 (2015), pp. 3037–3065.
-
(2015)
Calc. Var. Partial Differential Equations
, vol.54
, pp. 3037-3065
-
-
Cardaliaguet, P.1
Porretta, A.2
Tonon, D.3
-
14
-
-
85040517831
-
On stationary fractional mean field games
-
A. Cesaroni, M. Cirant, S. Dipierro, M. Novaga, and E. Valdinoci, On stationary fractional mean field games, J. Math. Pures Appl. (9), 122 (2019), pp. 1–22.
-
(2019)
J. Math. Pures Appl.
, vol.122
, Issue.9
, pp. 1-22
-
-
Cesaroni, A.1
Cirant, M.2
Dipierro, S.3
Novaga, M.4
Valdinoci, E.5
-
15
-
-
84863478499
-
On a stochastic partial differential equation with a fractional Laplacian operator
-
T. Chang and K. Lee, On a stochastic partial differential equation with a fractional Laplacian operator, Stochastic Process. Appl., 122 (2012), pp. 3288–3311.
-
(2012)
Stochastic Process. Appl.
, vol.122
, pp. 3288-3311
-
-
Chang, T.1
Lee, K.2
-
17
-
-
85064014763
-
Time-dependent focusing mean-field games: The sub-critical case
-
to appear
-
M. Cirant and D. Tonon, Time-dependent focusing mean-field games: The sub-critical case, J. Dynam. Differential Equations, to appear.
-
J. Dynam. Differential Equations
-
-
Cirant, M.1
Tonon, D.2
-
18
-
-
1342318409
-
-
Chapman & Hall/CRC Financ. Math. Ser., Chapman & Hall/CRC, Boca Raton, FL
-
R. Cont and P. Tankov, Financial Modelling with Jump Processes, Chapman & Hall/CRC Financ. Math. Ser., Chapman & Hall/CRC, Boca Raton, FL, 2004.
-
(2004)
Financial Modelling with Jump Processes
-
-
Cont, R.1
Tankov, P.2
-
19
-
-
4544377751
-
A maximum principle applied to quasi-geostrophic equations
-
A. Córdoba and D. Córdoba, A maximum principle applied to quasi-geostrophic equations, Comm. Math. Phys., 249 (2004), pp. 511–528.
-
(2004)
Comm. Math. Phys.
, vol.249
, pp. 511-528
-
-
Córdoba, A.1
Córdoba, D.2
-
22
-
-
0039895457
-
Transference on certain multilinear multiplier operators
-
D. Fan and S. Sato, Transference on certain multilinear multiplier operators, J. Aust. Math. Soc., 70 (2001), pp. 37–55.
-
(2001)
J. Aust. Math. Soc.
, vol.70
, pp. 37-55
-
-
Fan, D.1
Sato, S.2
-
23
-
-
85014623289
-
Regularity theory for general stable operators: Parabolic equations
-
X. Fernández-Real and X. Ros-Oton, Regularity theory for general stable operators: Parabolic equations, J. Funct. Anal., 272 (2017), pp. 4165–4221.
-
(2017)
J. Funct. Anal.
, vol.272
, pp. 4165-4221
-
-
Fernández-Real, X.1
Ros-Oton, X.2
-
24
-
-
0003943078
-
Green functions for second order parabolic integro-differential problems
-
Longman Scientific & Technical, Harlow; John Wiley & Sons, New York
-
M. G. Garroni and J.-L. Menaldi, Green Functions for Second Order Parabolic Integro-Differential Problems, Pitman Res. Notes Math. Ser. 275, Longman Scientific & Technical, Harlow; John Wiley & Sons, New York, 1992.
-
(1992)
Pitman Res. Notes Math. Ser.
, vol.275
-
-
Garroni, M.G.1
Menaldi, J.-L.2
-
25
-
-
0003549965
-
Elliptic partial differential equations of second order
-
Springer-Verlag, Berlin
-
D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Classics Math., Springer-Verlag, Berlin, 2001.
-
(2001)
Classics Math
-
-
Gilbarg, D.1
Trudinger, N.S.2
-
27
-
-
85101168605
-
Regularity theory for mean-field game systems
-
Springer, Cham
-
D. A. Gomes, E. A. Pimentel, and V. Voskanyan, Regularity Theory for Mean-Field Game Systems, SpringerBriefs Math., Springer, Cham, 2016.
-
(2016)
SpringerBriefs Math
-
-
Gomes, D.A.1
Pimentel, E.A.2
Voskanyan, V.3
-
28
-
-
84890942517
-
Multilinear operators in harmonic analysis and partial differential equations
-
Bessatsu B33, Research Institute for Mathematical Sciences (RIMS), Kyoto
-
L. Grafakos, Multilinear operators in harmonic analysis and partial differential equations, in Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kôkyûroku Bessatsu B33, Research Institute for Mathematical Sciences (RIMS), Kyoto, 2012, pp. 11–27.
-
(2012)
Harmonic Analysis and Nonlinear Partial Differential Equations, RIMS Kôkyûroku
, pp. 11-27
-
-
Grafakos, L.1
-
29
-
-
67651100976
-
-
3rd ed., Grad. Texts in Math. Springer, New York
-
L. Grafakos, Modern Fourier Analysis, 3rd ed., Grad. Texts in Math. 250, Springer, New York, 2014.
-
(2014)
Modern Fourier Analysis
, vol.250
-
-
Grafakos, L.1
-
31
-
-
39549087376
-
Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
-
M. Huang, R. P. Malhamé, and P. E. Caines, Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle, Commun. Inf. Syst., 6 (2006), pp. 221–251.
-
(2006)
Commun. Inf. Syst.
, vol.6
, pp. 221-251
-
-
Huang, M.1
Malhamé, R.P.2
Caines, P.E.3
-
32
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
C. E. Kenig, G. Ponce, and L. Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math., 46 (1993), pp. 527–620.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.E.1
Ponce, G.2
Vega, L.3
-
33
-
-
0003807870
-
Lectures on elliptic and parabolic equations in Hölder spaces
-
American Mathematical Society, Providence, RI
-
N. V. Krylov, Lectures on Elliptic and Parabolic Equations in Hölder Spaces, Grad. Stud. Math. 12, American Mathematical Society, Providence, RI, 1996.
-
(1996)
Grad. Stud. Math.
, vol.12
-
-
Krylov, N.V.1
-
34
-
-
0001646937
-
An analytic approach to SPDEs
-
American Mathematical Society, Providence, RI
-
N. V. Krylov, An analytic approach to SPDEs, in Stochastic Partial Differential Equations: Six Perspectives, Math. Surveys Monogr. 64, American Mathematical Society, Providence, RI, 1999, pp. 185–242.
-
(1999)
Stochastic Partial Differential Equations: Six Perspectives, Math. Surveys Monogr.
, vol.64
, pp. 185-242
-
-
Krylov, N.V.1
-
35
-
-
0042819954
-
Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces
-
N. V. Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, J. Funct. Anal., 183 (2001), pp. 1–41.
-
(2001)
J. Funct. Anal.
, vol.183
, pp. 1-41
-
-
Krylov, N.V.1
-
36
-
-
0003807870
-
Lectures on elliptic and parabolic equations in Sobolev spaces
-
American Mathematical Society, Providence, RI
-
N. V. Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, Grad. Stud. Math. 96, American Mathematical Society, Providence, RI, 2008.
-
(2008)
Grad. Stud. Math.
, vol.96
-
-
Krylov, N.V.1
-
37
-
-
0003690985
-
Linear and quasilinear equations of parabolic type
-
American Mathematical Society, Providence, RI
-
O. A. Ladyzenskaja, V. A. Solonnikov, and N. N. Ural’ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monogr. 23, American Mathematical Society, Providence, RI, 1968.
-
(1968)
Transl. Math. Monogr.
, vol.23
-
-
Ladyzenskaja, O.A.1
Solonnikov, V.A.2
Ural’ceva, N.N.3
-
40
-
-
46349102591
-
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients
-
C. Le Bris and P.-L. Lions, Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients, Comm. Partial Differential Equations, 33 (2008), pp. 1272–1317.
-
(2008)
Comm. Partial Differential Equations
, vol.33
, pp. 1272-1317
-
-
Le Bris, C.1
Lions, P.-L.2
-
41
-
-
0005668835
-
Problemi ai limiti non omogenei. III
-
J.-L. Lions and E. Magenes, Problemi ai limiti non omogenei. III, Ann. Scuola Norm. Sup. Pisa (3), 15 (1961), pp. 41–103.
-
(1961)
Ann. Scuola Norm. Sup. Pisa
, vol.15
, Issue.3
, pp. 41-103
-
-
Lions, J.-L.1
Magenes, E.2
-
44
-
-
85065504292
-
-
3rd ed., Appunti. Sc. Norm. Super. Pisa N. S Edizioni della Normale, Pisa
-
A. Lunardi, Interpolation Theory, 3rd ed., Appunti. Sc. Norm. Super. Pisa (N. S.) 16, Edizioni della Normale, Pisa, 2018.
-
(2018)
Interpolation Theory
, vol.16
-
-
Lunardi, A.1
-
45
-
-
77951273026
-
Global properties of transition probabilities of singular diffusions
-
G. Metafune, D. Pallara, and A. Rhandi, Global properties of transition probabilities of singular diffusions, Teor. Veroyatn. Primen., 54 (2009), pp. 116–148.
-
(2009)
Teor. Veroyatn. Primen.
, vol.54
, pp. 116-148
-
-
Metafune, G.1
Pallara, D.2
Rhandi, A.3
-
46
-
-
0003686033
-
Semigroups of linear operators and applications to partial differential equations
-
Springer-Verlag, New York
-
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, Springer-Verlag, New York, 1983.
-
(1983)
Appl. Math. Sci.
, vol.44
-
-
Pazy, A.1
-
47
-
-
84925014244
-
Weak solutions to Fokker-Planck equations and mean field games
-
A. Porretta, Weak solutions to Fokker-Planck equations and mean field games, Arch. Ration. Mech. Anal., 216 (2015), pp. 1–62.
-
(2015)
Arch. Ration. Mech. Anal.
, vol.216
, pp. 1-62
-
-
Porretta, A.1
-
48
-
-
79952169672
-
Vector-valued Morrey’s embedding theorem and Hölder continuity in parabolic problems
-
P. J. Rabier, Vector-valued Morrey’s embedding theorem and Hölder continuity in parabolic problems, Electron. J. Differential Equations, (2011), 10.
-
(2011)
Electron. J. Differential Equations
, pp. 10
-
-
Rabier, P.J.1
-
49
-
-
84969228139
-
Transference of fractional Laplacian regularity, in
-
Springer, Cham
-
L. Roncal and P. R. Stinga, Transference of fractional Laplacian regularity, in Special Functions, Partial Differential Equations, and Harmonic Analysis, Springer Proc. Math. Stat. 108, Springer, Cham, 2014, pp. 203–212.
-
(2014)
Special Functions, Partial Differential Equations, and Harmonic Analysis, Springer Proc. Math. Stat.
, vol.108
, pp. 203-212
-
-
Roncal, L.1
Stinga, P.R.2
-
50
-
-
84961696296
-
Fractional Laplacian on the torus
-
L. Roncal and P. R. Stinga, Fractional Laplacian on the torus, Commun. Contemp. Math., 18 (2016), 1550033.
-
(2016)
Commun. Contemp. Math.
, vol.18
, pp. 1550033
-
-
Roncal, L.1
Stinga, P.R.2
-
53
-
-
0002461654
-
On the abstract Cauchy problem of parabolic type in spaces of continuous functions
-
E. Sinestrari, On the abstract Cauchy problem of parabolic type in spaces of continuous functions, J. Math. Anal. Appl., 107 (1985), pp. 16–66.
-
(1985)
J. Math. Anal. Appl.
, vol.107
, pp. 16-66
-
-
Sinestrari, E.1
-
54
-
-
0003799686
-
Singular integrals and differentiability properties of functions
-
Princeton University Press, Princeton, NJ
-
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Ser. 30, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Princeton Math. Ser.
, vol.30
-
-
Stein, E.M.1
-
55
-
-
0003517185
-
Introduction to Fourier analysis on Euclidean spaces
-
Princeton University Press, Princeton, NJ
-
E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Math. Ser. 32, Princeton University Press, Princeton, NJ, 1971.
-
(1971)
Princeton Math. Ser.
, vol.32
-
-
Stein, E.M.1
Weiss, G.2
-
56
-
-
0003882441
-
-
2nd ed., Johann Ambrosius Barth, Heidelberg
-
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, 2nd ed., Johann Ambrosius Barth, Heidelberg, 1995.
-
(1995)
Interpolation Theory, Function Spaces, Differential Operators
-
-
Triebel, H.1
-
57
-
-
84926207960
-
Well-posedness for the fractional Fokker-Planck equations
-
J. Wei and R. Tian, Well-posedness for the fractional Fokker-Planck equations, J. Math. Phys., 56 (2015), 031502.
-
(2015)
J. Math. Phys.
, vol.56
, pp. 031502
-
-
Wei, J.1
Tian, R.2
-
58
-
-
84885161188
-
Stochastic differential equations with Sobolev drifts and driven by α-stable processes
-
X. Zhang, Stochastic differential equations with Sobolev drifts and driven by α-stable processes, Ann. Inst. Henri Poincaré Probab. Stat., 49 (2013), pp. 1057–1079.
-
(2013)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.49
, pp. 1057-1079
-
-
Zhang, X.1
|