A Regularized Trace Formula for Differential Equations with Trace Class Operator Coefficients
نویسندگان
چکیده
منابع مشابه
A Regularized Trace Formula for a Differential Operator of Second Order with Unbounded Operator Coefficients given in a Finite Interval
In this work, a formula for the regularized trace of second order differential operator given in a finite interval which has unbounded operator coefficients is found.
متن کاملKrein’s Trace Formula for Unitary Operators and Operator Lipschitz Functions
The spectral shift function for pairs of selfadjoint operators was introduced in the paper by I.M. Lifshits [17]. In the same paper a trace formula for the difference of functions of the perturbed operator and the unperturbed operator was established. Ideas by Lifshits were developed in the paper by M.G. Krein [14], in which the spectral shift function ξ in L1(R) was defined for arbitrary pairs...
متن کاملInstitute for Mathematical Physics Inverse Problem and the Trace Formula for the Hill Operator, Ii Inverse Problem and the Trace Formula for the Hill Operator, Ii
Consider the Hill operator T = ?d 2 =dx 2 + q(x) on L 2 (R); where q 2 L 2 (0; 1) is a 1-periodic real potential and R 1 0 q(x)dx = 0: The spectrum of T is absolutely continuous and consists of intervals separated by gaps n = (a ? n ; a
متن کاملRegularity Analysis for Stochastic Partial Differential Equations with Nonlinear Multiplicative Trace Class Noise
In this article spatial and temporal regularity of the solution process of a stochastic partial differential equation (SPDE) of evolutionary type with nonlinear multiplicative trace class noise is analyzed.
متن کاملEstimating the spectral gap of a trace-class Markov operator
The utility of a Markov chain Monte Carlo algorithm is, in large part, determined by the size of the spectral gap of the corresponding Markov operator. However, calculating (and even approximating) the spectral gaps of practical Monte Carlo Markov chains in statistics has proven to be an extremely difficult and often insurmountable task, especially when these chains move on continuous state spa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2010
ISSN: 0035-7596
DOI: 10.1216/rmj-2010-40-4-1095