Mild solution of the heat equation with a general stochastic measure

• Autorzy: Vadym Radchenko
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G57: Random measures
• 60H15: Stochastic partial differential equations
• 60G17: Sample path properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 194
• Numer: 3
• Strony: 231-251

Daty

wydano

2009

Twórcy

autor

Vadym Radchenko

• Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska St. 64, Kyiv 01033, Ukraine

Identyfikatory

DOI

10.4064/sm194-3-2