๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Stochastic Differential Equation with Time-Dependent and Unbounded Operator Coefficients

โœ Scribed by B.V.R. Bhat; K.B. Sinha


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
511 KB
Volume
114
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

โœฆ Synopsis


Unitary solutions of a class of stochastic equations (SDE) in Fock space with time-dependent unbounded operator coefficients are constructed as a limit of a random Trotter Kato product. Some special cases of quantum stochastic differential equations are studied as an application. 1993 Academic Press, Inc.


๐Ÿ“œ SIMILAR VOLUMES


Representation and realization of operat
โœ E.W. Kamen ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 836 KB

DSTRACT: An algebraic treatment of operational differential equations with time-varying coe@ieti is presented in terma of skew tinge of differential polynomiala defined over a Noetherian ring. Includ.ed in this framework are delay differential equations with timevarying coeficients. The operator equ

Semilinear Schrรถdinger equation with tim
โœ Luca Fanelli ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 198 KB

## Abstract In this paper we study local and global wellโ€posedness in __L__^2^ and __H__^1^ of the Cauchy problem for the following nonlinear Schrรถdinger equations equation image in the space โ„^1+__n__^ , with __n__ โ‰ฅ 2. The coefficient __a__ (__t__) is assumed to be positive, and possibly vanish

Analytic Semigroups and Degenerate Ellip
โœ Sandra Cerrai ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in C b (R d ), the space of uniformly continuous and bounded functions from R d into R.