Stochastic Bilinear Partial Differential Equations.

Abstract

The author proves existence and uniqueness theorems for a class of partial differential equations with a bilinear stochastic forcing term. The author gives both white noise and Wiener process (Ito integral) versions and indicates the interrelationships. Another feature is the use of semigroup theory, in contrast to the Lions-Magenes variational theory.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA005725

Entities

People

  • A.V. Balakrishnan

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Contrast
  • Differential Equations
  • Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Noise
  • Partial Differential Equations
  • White Noise

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.