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$W$-Sobolev spaces: Higher order and regularity
1. | Departamento de Matemática, Universidade Federal da Paraíba, Cidade Universitária - Campus I, 58051-970, João Pessoa - PB, Brazil |
2. | Departamento de Matemática, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29075-910, Vitória - ES, Brazil |
References:
[1] |
A. Faggionato, M. Jara and C. Landim, Hydrodynamic behavior of one dimensional subdiffusive exclusion processes with random conductances, Probability Theory and Related Fields, 144 (2009), 633-667.
doi: 10.1007/s00440-008-0157-7. |
[2] |
J. Farfan, A. B. Simas and F. J. Valentim, Equilibrium fluctuations for exclusion processes with conductances in random environments, Stochastic Processes and their Applications, 120 (2010), 1535-1562. |
[3] |
T. Franco, C. Landim, Hydrodynamic limit of gradient exclusion processes with conductances, Archive for Rational Mechanics and Analysis, 195 (2009), 409-439.
doi: 10.1007/s00205-008-0206-5. |
[4] |
M. Jara, C. Landim and A. Teixeira, Quenched scaling limits of trap models, Annals of Probability, 39 (2011), 176-223.
doi: 10.1214/10-AOP554. |
[5] |
J.-U. Löbus, Generalized second order differential operators, Math. Nachr., 152 (1991), 229-245. |
[6] |
P. Mandl, Analytical treatment of one-dimensional Markov processes, Grundlehren der mathematischen Wissenschaften, 151, Springer-Verlag, Berlin, 1968. |
[7] |
A. B. Simas and F. J. Valentim, $W$-Sobolev spaces, Journal of Mathematical Analysis and Applications, 382 (2011), 214-230. |
[8] |
A. B. Simas and F. J. Valentim, Homogenization of second-order generalized elliptic operators,, submitted for publication., ().
|
[9] |
F. J. Valentim, Hydrodynamic limit of a $d$-dimensional exclusion process with conductances, Ann. Inst. H. Poincaré Probab. Statist, 48 (2012), 188-211. |
show all references
References:
[1] |
A. Faggionato, M. Jara and C. Landim, Hydrodynamic behavior of one dimensional subdiffusive exclusion processes with random conductances, Probability Theory and Related Fields, 144 (2009), 633-667.
doi: 10.1007/s00440-008-0157-7. |
[2] |
J. Farfan, A. B. Simas and F. J. Valentim, Equilibrium fluctuations for exclusion processes with conductances in random environments, Stochastic Processes and their Applications, 120 (2010), 1535-1562. |
[3] |
T. Franco, C. Landim, Hydrodynamic limit of gradient exclusion processes with conductances, Archive for Rational Mechanics and Analysis, 195 (2009), 409-439.
doi: 10.1007/s00205-008-0206-5. |
[4] |
M. Jara, C. Landim and A. Teixeira, Quenched scaling limits of trap models, Annals of Probability, 39 (2011), 176-223.
doi: 10.1214/10-AOP554. |
[5] |
J.-U. Löbus, Generalized second order differential operators, Math. Nachr., 152 (1991), 229-245. |
[6] |
P. Mandl, Analytical treatment of one-dimensional Markov processes, Grundlehren der mathematischen Wissenschaften, 151, Springer-Verlag, Berlin, 1968. |
[7] |
A. B. Simas and F. J. Valentim, $W$-Sobolev spaces, Journal of Mathematical Analysis and Applications, 382 (2011), 214-230. |
[8] |
A. B. Simas and F. J. Valentim, Homogenization of second-order generalized elliptic operators,, submitted for publication., ().
|
[9] |
F. J. Valentim, Hydrodynamic limit of a $d$-dimensional exclusion process with conductances, Ann. Inst. H. Poincaré Probab. Statist, 48 (2012), 188-211. |
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