Michael Röckner, Zeev Sobol, Kolmogorov Equations in Infinite Dimensions: Well-Posedness and Regularity of Solutions, with Applications to Stochastic Generalized Burgers Equations, The Annals of ...

The Journal of Integral Equations and Applications, Vol. 4, No. 2 (SPRING 1992), pp. 273-307 (35 pages) This paper formulates several axioms for the ordering structure of state spaces and establishes ...

Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...