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Multiple Jacobian equations
Some results for pathwise uniqueness in Hilbert spaces
| 1. | Scuola Normale Superiore, Piazza dei Cavalieri 6, 56126 Pisa, Italy |
| 2. | Dipartimento di Matematica Applicata, "U.Dini" Università di Pisa, V.le B. Pisano 26/b, 56126 Pisa |
References:
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S. Cerrai, A Hille-Yosida theorem for weakly continuous semigroups, Semigroup Forum, 49 (1994), 349-367.
doi: 10.1007/BF02573496. |
| [2] |
G. Da Prato and J. Zabczyk, Second Order Partial Differential Equations in Hilbert Spaces, London Mathematical Society, Lecture Notes 293, Cambridge University Press, 2002.
doi: 10.1017/CBO9780511543210. |
| [3] |
G. Da Prato and F. Flandoli, Pathwise uniqueness for a class of SDE in Hilbert spaces and applications, J. Funct. Anal., 259 (2010), 243-267.
doi: 10.1016/j.jfa.2009.11.019. |
| [4] |
F. Flandoli, Random perturbation of PDEs and fluid dynamic models, Lecture Notes in Mathematics, 2015, Springer, Berlin, 2011.
doi: 10.1007/978-3-642-18231-0. |
| [5] |
J. M. Lasry and P. L. Lions, A remark on regularization in Hilbert spaces, Israel J. Math., 55 (1986), 257-266.
doi: 10.1007/BF02765025. |
| [6] |
J. L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, Dunod, 1968. |
| [7] |
M. Ondreját, Uniqueness for Stochastic Evolution Equations in Banach Spaces, Dissertationes Math. (Rozprawy Mat.), no. 426, 2004.
doi: 10.4064/dm426-0-1. |
| [8] |
M. Röckner, B. Schmuland and X. Zhang, The Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions, Comm. Mat. Phys., 11 (2008), 247-259. |
| [9] |
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, 1978. |
show all references
References:
| [1] |
S. Cerrai, A Hille-Yosida theorem for weakly continuous semigroups, Semigroup Forum, 49 (1994), 349-367.
doi: 10.1007/BF02573496. |
| [2] |
G. Da Prato and J. Zabczyk, Second Order Partial Differential Equations in Hilbert Spaces, London Mathematical Society, Lecture Notes 293, Cambridge University Press, 2002.
doi: 10.1017/CBO9780511543210. |
| [3] |
G. Da Prato and F. Flandoli, Pathwise uniqueness for a class of SDE in Hilbert spaces and applications, J. Funct. Anal., 259 (2010), 243-267.
doi: 10.1016/j.jfa.2009.11.019. |
| [4] |
F. Flandoli, Random perturbation of PDEs and fluid dynamic models, Lecture Notes in Mathematics, 2015, Springer, Berlin, 2011.
doi: 10.1007/978-3-642-18231-0. |
| [5] |
J. M. Lasry and P. L. Lions, A remark on regularization in Hilbert spaces, Israel J. Math., 55 (1986), 257-266.
doi: 10.1007/BF02765025. |
| [6] |
J. L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, Dunod, 1968. |
| [7] |
M. Ondreját, Uniqueness for Stochastic Evolution Equations in Banach Spaces, Dissertationes Math. (Rozprawy Mat.), no. 426, 2004.
doi: 10.4064/dm426-0-1. |
| [8] |
M. Röckner, B. Schmuland and X. Zhang, The Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions, Comm. Mat. Phys., 11 (2008), 247-259. |
| [9] |
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, 1978. |
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