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In this paper we study general nonlinear stochastic differential equations, where the usual Brownian motion is replaced by a L\'evy process.
Muscat, M., The Flow of Homogeneous Fluids Through Porous Media
1937
Earlier work this paper cites.
Barenblatt, G.I., On some unsteady motions of fluids and gases in a porous medium, Prikl. Mat. Mekh 16:67-78, 1952
1952
Earlier work this paper cites.
Brézis, H. and Crandall, M.G., Uniqueness of solutions of the initial-value problem for u t − Δ φ ( u ) = 0 , u_{t}-\Delta\varphi(u)=0, J. math. pures et appl. 58:153-163, 1979
1979
Earlier work this paper cites.
Multidimensional asymptotic quantization theory with r r th power distortion measures,
Bucklew, J.A. and Wise, G.L., · 1982
Earlier work this paper cites.
Bichteler, K. and Jacod, J., Calcul de Malliavin pour les diffusions avec sauts: Existence d’une densité dans le cas unidimensionnel. Séminaire de Probabilités XVII, Lect. Notes in Math. 986, Berlin-Heidelberg- New York: Springer, 132-157, 1983
1983
Earlier work this paper cites.
Bismut, J.M., Calcul des variations stochastiques et processus de sauts, Z. Wahrsch. Verw. Gebiete 63(2):147-235, 1983
1983
Earlier work this paper cites.
Ethier, S.N. and Kurtz, T.G., Markov processes, Characterization and convergence , Wiley 1986
1986
Earlier work this paper cites.
Jacod, J. and Shiryaev, A., Limit theorems for stochastic processes , Springer 1987
1987
Earlier work this paper cites.
Topics in propagation of chaos
Sznitman, A.S., · 1991
Cited alongside, same era.
Invariant measures and evolution equations for Markov processes characterized via martingale problems,
Bhatt, A.G. and Karandikar, R.L., · 1993
Cited alongside, same era.
Nualart, D., The Malliavin calculus and related topics , Springer 1995
1995
Cited alongside, same era.
Barenblatt, G.I., Scaling, Self-similarity, and Intermediate Asymptotics
1996
Cited alongside, same era.
1996
Cited alongside, same era.
Mass transportation problems. Vol. I and II,
Rachev, S.T. and Rüschendorf, L., · 1998
Jourdain, B. , Probabilistic approximation for a porous medium equation, Stochastic Processes and their Applications 89:81-99, 2000
2000
Later among the works it cites.
Otto, F., The geometry of dissipative evolution equations: the porous medium equation, Commun. in Partial Differential Equations, 26: 101-174, 2001
2001
Later among the works it cites.
Stochastic integration and differential equations. Second edition
Protter, P., · 2004
Later among the works it cites.
Asymptotics for L 2 L_{2} functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances,
Del Barrio, E., Giné, E. and Utzet, F., · 2005
Later among the works it cites.
Jourdain, B., Méléard, S. and Woyczynski, W.A., Probabilistic approximation and inviscid limits for 1-D fractional conservation laws, Bernoulli, 11(4):689-714, 2005
2005
Later among the works it cites.
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Cited alongside, same era.
Graham, C. and Méléard, S., Existence and Regularity of a solution of a Kac equation without cutoff using the stochastic calculus of variations, Commun. Math. Phys. 205(3):551-69, 1999
1999
Cited alongside, same era.
Meerschaert, M.M., Benson, D.A. and Baeumer, B., Multidimensional advection and fractional dispersion, Phys. Rev. E, 59: 5026-5028, 1999
1999
Cited alongside, same era.
Jourdain, B., Méléard, S. and Woyczynski, W.A., A probabilistic approach for nonlinear equations involving fractional Laplacian and singular operator, Potential Analysis 23(1):55-81, 2005
2005
Later among the works it cites.
Park, M., Kleinfelter, N. and Cushman, J.H., Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale, SIAM J. Multiscale Model. Simul. 4: 1233-1244, 2005
2005
Later among the works it cites.