-
Previous Article
On the free boundary for quenching type parabolic problems via local energy methods
- CPAA Home
- This Issue
-
Next Article
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:
[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. |
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. |
[1] |
Yong Chen, Hongjun Gao, María J. Garrido–Atienza, Björn Schmalfuss. Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than $1/2$ and random dynamical systems. Discrete and Continuous Dynamical Systems, 2014, 34 (1) : 79-98. doi: 10.3934/dcds.2014.34.79 |
[2] |
Walter Allegretto, Yanping Lin, Shuqing Ma. Hölder continuous solutions of an obstacle thermistor problem. Discrete and Continuous Dynamical Systems - B, 2004, 4 (4) : 983-997. doi: 10.3934/dcdsb.2004.4.983 |
[3] |
Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives. Discrete and Continuous Dynamical Systems - B, 2022, 27 (7) : 3707-3724. doi: 10.3934/dcdsb.2021203 |
[4] |
Łukasz Struski, Jacek Tabor. Expansivity implies existence of Hölder continuous Lyapunov function. Discrete and Continuous Dynamical Systems - B, 2017, 22 (9) : 3575-3589. doi: 10.3934/dcdsb.2017180 |
[5] |
Lucio Boccardo, Alessio Porretta. Uniqueness for elliptic problems with Hölder--type dependence on the solution. Communications on Pure and Applied Analysis, 2013, 12 (4) : 1569-1585. doi: 10.3934/cpaa.2013.12.1569 |
[6] |
Boris Muha. A note on the Trace Theorem for domains which are locally subgraph of a Hölder continuous function. Networks and Heterogeneous Media, 2014, 9 (1) : 191-196. doi: 10.3934/nhm.2014.9.191 |
[7] |
Jianhai Bao, Xing Huang, Chenggui Yuan. New regularity of kolmogorov equation and application on approximation of semi-linear spdes with Hölder continuous drifts. Communications on Pure and Applied Analysis, 2019, 18 (1) : 341-360. doi: 10.3934/cpaa.2019018 |
[8] |
Nanhee Kim. Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress. Evolution Equations and Control Theory, 2013, 2 (4) : 679-693. doi: 10.3934/eect.2013.2.679 |
[9] |
Daoyi Xu, Weisong Zhou. Existence-uniqueness and exponential estimate of pathwise solutions of retarded stochastic evolution systems with time smooth diffusion coefficients. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 2161-2180. doi: 10.3934/dcds.2017093 |
[10] |
Charles Pugh, Michael Shub, Amie Wilkinson. Hölder foliations, revisited. Journal of Modern Dynamics, 2012, 6 (1) : 79-120. doi: 10.3934/jmd.2012.6.79 |
[11] |
Jinpeng An. Hölder stability of diffeomorphisms. Discrete and Continuous Dynamical Systems, 2009, 24 (2) : 315-329. doi: 10.3934/dcds.2009.24.315 |
[12] |
María J. Garrido–Atienza, Kening Lu, Björn Schmalfuss. Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters $H\in (1/3,1/2]$. Discrete and Continuous Dynamical Systems - B, 2015, 20 (8) : 2553-2581. doi: 10.3934/dcdsb.2015.20.2553 |
[13] |
Luis Barreira, Claudia Valls. Hölder Grobman-Hartman linearization. Discrete and Continuous Dynamical Systems, 2007, 18 (1) : 187-197. doi: 10.3934/dcds.2007.18.187 |
[14] |
Rafael De La Llave, R. Obaya. Regularity of the composition operator in spaces of Hölder functions. Discrete and Continuous Dynamical Systems, 1999, 5 (1) : 157-184. doi: 10.3934/dcds.1999.5.157 |
[15] |
Luca Lorenzi. Optimal Hölder regularity for nonautonomous Kolmogorov equations. Discrete and Continuous Dynamical Systems - S, 2011, 4 (1) : 169-191. doi: 10.3934/dcdss.2011.4.169 |
[16] |
Vincent Lynch. Decay of correlations for non-Hölder observables. Discrete and Continuous Dynamical Systems, 2006, 16 (1) : 19-46. doi: 10.3934/dcds.2006.16.19 |
[17] |
Andrey Kochergin. A Besicovitch cylindrical transformation with Hölder function. Electronic Research Announcements, 2015, 22: 87-91. doi: 10.3934/era.2015.22.87 |
[18] |
Pedro Duarte, Silvius Klein, Manuel Santos. A random cocycle with non Hölder Lyapunov exponent. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4841-4861. doi: 10.3934/dcds.2019197 |
[19] |
Slobodan N. Simić. Hölder forms and integrability of invariant distributions. Discrete and Continuous Dynamical Systems, 2009, 25 (2) : 669-685. doi: 10.3934/dcds.2009.25.669 |
[20] |
Mykola Krasnoschok, Nataliya Vasylyeva. Linear subdiffusion in weighted fractional Hölder spaces. Evolution Equations and Control Theory, 2021 doi: 10.3934/eect.2021050 |
2020 Impact Factor: 1.916
Tools
Metrics
Other articles
by authors
[Back to Top]