The Experts below are selected from a list of 3018 Experts worldwide ranked by ideXlab platform

Nicolai V Krylov - One of the best experts on this subject based on the ideXlab platform.

  • On parabolic equations in one space dimension
    Communications in Partial Differential Equations, 2015
    Co-Authors: Nicolai V Krylov
    Abstract:

    ABSTRACTSeveral negative results are presented concerning the solvability in Sobolev classes of the Cauchy problem for the inhomogeneous second-order uniformly parabolic equations without lower order terms in one space dimension. The main coefficient is assumed to be a Bounded Measurable Function of (t, x) Bounded away from 0. We also discuss upper and lower estimates of certain kind on the fundamental solutions of such equations.

  • On parabolic equations in one space dimension
    arXiv: Analysis of PDEs, 2015
    Co-Authors: Nicolai V Krylov
    Abstract:

    Several negative results are presented concerning the solvability in Sobolev classes of the Cauchy problem for the inhomogeneous second-order uniformly parabolic equations without lower order terms in one space dimension. The main coefficient is assumed to be a Bounded Measurable Function of $(t,x)$ Bounded away from zero. We also discuss upper and lower estimates of certain kind on the fundamental solutions of such equations.

Mukul Majumdar - One of the best experts on this subject based on the ideXlab platform.

  • Estimating the stationary distribution of a Markov chain
    Economic Theory, 2003
    Co-Authors: Krishna B. Athreya, Mukul Majumdar
    Abstract:

    Let be a Markov chain with a unique stationary distribution . Let h be a Bounded Measurable Function. Write and . This paper explores conditions for the consistency and asymptotic normality of the estimate of of assuming the existence of a solution to the Poisson equation . Our framework covers the case of nonirreducible Markov chains arising in many growth models in economics. Copyright Springer-Verlag Berlin Heidelberg 2003

  • Estimating the stationary distribution of a Markov chain
    Economic Theory, 2003
    Co-Authors: Krishna B. Athreya, Mukul Majumdar
    Abstract:

    Let be a Markov chain with a unique stationary distribution . Let h be a Bounded Measurable Function. Write and . This paper explores conditions for the consistency and asymptotic normality of the estimate of of assuming the existence of a solution to the Poisson equation . Our framework covers the case of nonirreducible Markov chains arising in many growth models in economics. Copyright Springer-Verlag Berlin Heidelberg 2003Keywords and Phrases: Markov chains, Stationary distribution, Consistency, Asymptotic normality, Poisson equation, Martingale central limit theorem., JEL Classification Numbers: C1, D9.,

Krishna B. Athreya - One of the best experts on this subject based on the ideXlab platform.

  • Estimating the stationary distribution of a Markov chain
    Economic Theory, 2003
    Co-Authors: Krishna B. Athreya, Mukul Majumdar
    Abstract:

    Let be a Markov chain with a unique stationary distribution . Let h be a Bounded Measurable Function. Write and . This paper explores conditions for the consistency and asymptotic normality of the estimate of of assuming the existence of a solution to the Poisson equation . Our framework covers the case of nonirreducible Markov chains arising in many growth models in economics. Copyright Springer-Verlag Berlin Heidelberg 2003

  • Estimating the stationary distribution of a Markov chain
    Economic Theory, 2003
    Co-Authors: Krishna B. Athreya, Mukul Majumdar
    Abstract:

    Let be a Markov chain with a unique stationary distribution . Let h be a Bounded Measurable Function. Write and . This paper explores conditions for the consistency and asymptotic normality of the estimate of of assuming the existence of a solution to the Poisson equation . Our framework covers the case of nonirreducible Markov chains arising in many growth models in economics. Copyright Springer-Verlag Berlin Heidelberg 2003Keywords and Phrases: Markov chains, Stationary distribution, Consistency, Asymptotic normality, Poisson equation, Martingale central limit theorem., JEL Classification Numbers: C1, D9.,

S. L. Yadava - One of the best experts on this subject based on the ideXlab platform.

Charles J. K. Batty - One of the best experts on this subject based on the ideXlab platform.

  • Bounded Laplace transforms, primitives and semigroup orbits
    Archiv der Mathematik, 2003
    Co-Authors: Charles J. K. Batty
    Abstract:

    Let $f : \mathbb{R}_{+} \rightarrow \mathbb{C}$ be an exponentially Bounded, Measurable Function whose Laplace transform has a Bounded holomorphic extension to the open right half-plane. It is known that there is a constant C such that $\mid \int\limits^t_0 f(s) ds \mid\, \leq C (1 + t)$ for all $t \geq 0$. We show that this estimate is sharp. Furthermore, the corresponding estimates for orbits of $C_0$-semigroups are also sharp.

  • A Non-Analytic Growth Bound for Laplace Transforms and Semigroups of Operators
    Integral Equations and Operator Theory, 2003
    Co-Authors: Charles J. K. Batty, Mark D. Blake, Sachi Srivastava
    Abstract:

    Let \( f : \mathbb{R}_{+} \longrightarrow \mathbb{C} \) be an exponentially Bounded, Measurable Function. We introduce a growth bound \( \zeta(f) \) which measures the extent to which \( f \) can be approximated by holomorphic Functions. This growth bound is related to the location of the domain of holomorphy of the Laplace transform of \( f \)far from the real axis. The denition extends to vector and operator-valued cases. For a \( C_{0} \)-semigroup \( T \) of operators, \( \zeta(T) \) is closely related to the critical growth bound of \( T \).