论文信息 - Regularity of solutions of linear stochastic equations in hilbert spaces - 字舞流文

Regularity of solutions of linear stochastic equations in hilbert spaces

The paper gives sufficient, and in some cases necessary and sufficient, conditions for the mild solution of a stochastic linear equation to be regular both "in time" and "in space" or to be the strong solution

Jerzy Zabczyk | J. Zabczyk | G. Prato | G. Da Prato | S. Kwapieň | S. Kwapieň

[1] P. Kotelenez. On the Semigroup Approach to Stochastic Evolution Equations , 1985 .

[2] R. Curtain,et al. STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACE , 1971 .

[3] J. Zabczyk. Structural properties and limit behaviour of linear stochastic systems in Hilbert spaces , 1985 .

[4] É. Pardoux,et al. Équations aux dérivées partielles stochastiques non linéaires monotones : étude de solutions fortes de type Ito , 1975 .

[5] The Hölder continuity of hilbert space valued stochastic integrals with an application to SPDE , 1981 .

[6] W. Smolenski. A new proof of the zero-one law for stable measures , 1981 .

[7] Stochastic Space-Time Models and Limit Theorems: An Introduction , 1985 .

[8] Giovanni Pistone,et al. Sur une équation d'évolution stochastique , 1976 .

[9] X. Fernique. Regularite des trajectoires des fonctions aleatoires gaussiennes , 1975 .

[10] Amnon Pazy,et al. Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[11] A. Ichikawa. Semilinear stochastic evolution equations: boundedness, stability and invariant measurest , 1984 .

[12] J. Jacod. Calcul stochastique et problèmes de martingales , 1979 .

[13] Daniel B. Henry. Geometric Theory of Semilinear Parabolic Equations , 1989 .