Titlebook: Random Partial Differential Equations; Proceedings of the C U. Hornung,P. Kotelenez,G. Papanicolaou Conference proceedings 1991 Springer Ba

expeditious

Feynman-Kac semigroups in terms of signed smooth measures,ions for a Feynman-Kac semigroup associated with a signed Borel measure to be a strongly continuous semigroup in the relevant ..-space. We characterize their generators as second order partial differential operators with zero order term (potential) given by a signed measure (which can be so singular

disrupt

Fluctuation Field for the Asymmetric Simple Exclusion Process,erential equation. This corresponds to a law of large numbers for the system and it is natural to study the fluctuations. When the density of particles is zero before the shock, we show that the fluctuation field is a solution, in a weak sense, of a linear equation with discontinuous coefficients, n

刪減

Almost Sure Convergence of Some Approximate Solutions for Random Parabolic Equations, eigenfunction expansion. In contrast with ..-convergence, it is shown that, under suitable conditions, the approximate solutions converge almost surely to the strong solution of a parabolic It? equation.

裂口

寡頭政治

Junction

A Stochastic Fubini Theorem and Equivalence of Extended Solutions of Stochastic Evolution Equations ≤ . ≤ .} is a family of closed linear operators on . which generators an evolution system {.(.) 0 ≤ . ≤ . ≤ .] on ., and .(.) is an .-valued semimartingale, 0 at time 0, which may depend on . (e.g. a stochastic integral of . with respect to another semimartingale). The variation of constants formul

MAL

APEX

Embolic-Stroke

他日關(guān)稅重重