Mild solution of the heat equation with a general stochastic measure

Vadym Radchenko

Studia Mathematica (2009)

  • Volume: 194, Issue: 3, page 231-251
  • ISSN: 0039-3223

Abstract

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The stochastic heat equation on [0,T]×ℝ driven by a general stochastic measure is investigated. Existence and uniqueness of the solution is established. Hölder regularity of the solution in time and space variables is proved.

How to cite

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Vadym Radchenko. "Mild solution of the heat equation with a general stochastic measure." Studia Mathematica 194.3 (2009): 231-251. <http://eudml.org/doc/285272>.

@article{VadymRadchenko2009,
abstract = {The stochastic heat equation on [0,T]×ℝ driven by a general stochastic measure is investigated. Existence and uniqueness of the solution is established. Hölder regularity of the solution in time and space variables is proved.},
author = {Vadym Radchenko},
journal = {Studia Mathematica},
keywords = {stochastic heat equation; stochastic measure; Hölder regularity},
language = {eng},
number = {3},
pages = {231-251},
title = {Mild solution of the heat equation with a general stochastic measure},
url = {http://eudml.org/doc/285272},
volume = {194},
year = {2009},
}

TY - JOUR
AU - Vadym Radchenko
TI - Mild solution of the heat equation with a general stochastic measure
JO - Studia Mathematica
PY - 2009
VL - 194
IS - 3
SP - 231
EP - 251
AB - The stochastic heat equation on [0,T]×ℝ driven by a general stochastic measure is investigated. Existence and uniqueness of the solution is established. Hölder regularity of the solution in time and space variables is proved.
LA - eng
KW - stochastic heat equation; stochastic measure; Hölder regularity
UR - http://eudml.org/doc/285272
ER -

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