Geodesic
Mild solution of the heat equation with a general stochastic measure
Vadym Radchenko1
1 Department of Mathematical Analysis Faculty of Mechanics and Mathematics Kyiv National Taras Shevchenko University Volodymyrska St. 64 Kyiv 01033, Ukraine
Studia Mathematica, Tome 194 (2009) no. 3, pp. 231-251 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The stochastic heat equation on $[0,T]\times\mathbb R$ 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.
DOI : 10.4064/sm194-3-2
Keywords: stochastic heat equation times mathbb driven general stochastic measure investigated existence uniqueness solution established lder regularity solution time space variables proved

Vadym Radchenko 1

1 Department of Mathematical Analysis Faculty of Mechanics and Mathematics Kyiv National Taras Shevchenko University Volodymyrska St. 64 Kyiv 01033, Ukraine 
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Vadym Radchenko. Mild solution of the heat equation with a general stochastic measure. Studia Mathematica, Tome 194 (2009) no. 3, pp. 231-251. doi: 10.4064/sm194-3-2

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