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Exact variations for stochastic heat equations driven by space--time white noise

Probability 2018-08-21 v1 Analysis of PDEs

Abstract

This paper calculates the exact quadratic variation in space and quartic variation in time for the solutions to a one dimensional stochastic heat equation driven by a multiplicative space-time white noise.

Keywords

Cite

@article{arxiv.math/0411552,
  title  = {Exact variations for stochastic heat equations driven by space--time white noise},
  author = {Jan Pospisil and Roger Tribe},
  journal= {arXiv preprint arXiv:math/0411552},
  year   = {2018}
}

Comments

Submitted to the Stochastic Processes and their Applications