Stochastic Evolution Equations with Values on the Dual of a Countably Hilbert Nuclear Space.

Abstract

The work begins a study of stochastic evolution equations (SEE) driven by nuclear space valued martingales. The existence and uniqueness of solutions of perturbed SEE's is also considered. An illustration of the equations treated here is the SEE obtained by Mitoma in connection with the central limit theorem for the propagation of chaos.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA174876

Entities

People

  • G. Kallianpur
  • V. Perez-abreu

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Convergence
  • Covariance
  • Decomposition
  • Differential Equations
  • Equations
  • Generators
  • Hilbert Space
  • Inequalities
  • Integrals
  • Mathematics
  • North Carolina
  • Perturbations
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Nuclear Non-Proliferation and International Security

Technology Areas

  • Space
  • Space - Orbital Debris