References

1. S. Albeverio and B. Rüdiger, Stochastic integrals and the Lévy-Ito decomposition theorem on separable Banach spaces, Stoch. Anal. Appl. 23 (2005), no. 2, 217-253. Math. Review MR2130348
2. D. Applebaum, Lévy processes and stochastic calculus, Cambridge University Press, Cambridge, 2004. Math. Review MR2072890
3. D.Applebaum, Martingale-valued measures, Ornstein-Uhlenbeck processes with jumps and operator self-decomposability in Hilbert space, Lecture Notes in Math., vol. 1874, Springer, Berlin, 2006, pp. 171-196. Math. Review MR2276896
4. V. Barbu, Analysis and control of nonlinear infinite-dimensional systems, Academic Press, Boston, MA, 1993. Math. Review MR1195128
5. S. Bonaccorsi and G. Ziglio, A semigroup approach to stochastic dynamical boundary value problems, Systems, control, modeling and optimization, IFIP Int. Fed. Inf. Process., vol. 202, Springer, New York, 2006, pp. 55-65. Math. Review MR2241696
6. H. Brezis, Monotonicity methods in Hilbert spaces and some applications to non-linear partial differential equations, Contributions to nonlinear functional analysis (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1971), Academic Press, New York, 1971, pp. 101-156. Math. Review MR0394323
7. H. Brezis, Analyse fonctionnelle, Masson, Paris, 1983. Math. Review MR0697382
8. S. Cerrai, Second order PDE's in finite and infinite dimension, Lecture Notes in Mathematics, vol. 1762, Springer-Verlag, Berlin, 2001. MR 2002j:35327 Math. Review MR1840644
9. A. Chojnowska-Michalik, On processes of Ornstein-Uhlenbeck type in Hilbert space, Stochastics 21 (1987), no. 3, 251-286. Math. Review MR0900115
10. G. Da Prato, Kolmogorov equations for stochastic PDEs, Birkhäuser Verlag, Basel, 2004. Math. Review MR2111320
11. G. Da Prato and J. Zabczyk, Stochastic equations in infinite dimensions, Cambridge University Press, Cambridge, 1992. Math. Review MR1207136
12. G. Da Prato and J. Kabczyk, Ergodicity for infinite-dimensional systems, Cambridge University Press, 1996. Math. Review MR1417491
13. R. E. Edwards, Functional analysis. Theory and applications, Holt, Rinehart and Winston, New York, 1965. Math. Review MR0221256
14. I. I. Gihman and A. V. Skorohod, The theory of stochastic processes. III, Springer- Verlag, Berlin, 1979. Math. Review MR0651015
15. E. Hausenblas, Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure, Electron. J. Probab. 10 (2005), 1496-1546 (electronic). Math. Review MR2191637
16. A.L. Hodgkin and A.F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol. 117 (1952), no. 2, 500-544.
17. G. Kallianpur and R. Wolpert, Infinite-dimensional stochastic differential equation models for spatially distributed neurons, Appl. Math. Optim. 12 (1984), no. 2, 125-172. Math. Review MR0764813
18. G. Kallianpur and J. Xiong, Diffusion approximation of nuclear space-valued stochastic differential equations driven by Poisson random measures, Ann. Appl. Probab. 5 (1995), no. 2, 493-517. Math. Review MR1336880
19. J. Keener and J. Sneyd, Mathematical physiology, Springer, New York, 1998. Math. Review MR1673204
20. P. Kotelenez, A stopped Doob inequality for stochastic convolution integrals and stochastic evolution equations, Stochastic Anal. Appl. 2 (1984), no. 3, 245{265. Math. Review MR0757338
21. M. Kramar Fijavz, D. Mugnolo, and E. Sikolya, Variational and semigroup methods for waves and diffusion in networks, Appl. Math. Optim. 55 (2007), no. 2, 219{240. Math. Review MR2305092
22. J.-L. Lions and E. Magenes, Non-homogeneous boundary value problems and applications. Vol. I, Springer-Verlag, New York, 1972. Math. Review MR0350177
23. A. Lunardi, Analytic semigroups and optimal regularity in parabolic problems, Birkhäuser Verlag, Basel, 1995. Math. Review MR1329547
24. D. Mugnolo and S. Romanelli, Dynamic and generalized Wentzell node conditions for network equations, Math. Methods Appl. Sci. 30 (2007), no. 6, 681{706. Math. Review MR230184
25. E. M. Ouhabaz, Analysis of heat equations on domains, Princeton University Press, Princeton, NJ, 2005. Math. Review MR2124040
26. Sz. Peszat and J. Zabczyk, Stochastic partial differential equations with Lévy noise, Cambridge University Press, Cambridge, 2007. Math. Review MR2356959
27. C. Rocsoreanu, A. Georgescu, and N. Giurgiteanu, The FitzHugh-Nagumo model, Kluwer Academic Publishers, Dordrecht, 2000. Math. Review MR1779040
28. J. B. Walsh, An introduction to stochastic partial di erential equations, Lecture Notes in Math., vol. 1180, Springer, Berlin, 1986, pp. 265-439. Math. Review MR0876085