Mild solution of the heat equation with a general stochastic measure
Vadym Radchenko
Studia Mathematica, Tome 192 (2009), p. 231-251 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:285272 
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     title = {Mild solution of the heat equation with a general stochastic measure},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {231-251},
     zbl = {1181.60101},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-3-2}
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Vadym Radchenko. Mild solution of the heat equation with a general stochastic measure. Studia Mathematica, Tome 192 (2009) pp. 231-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-3-2/