Angelo Favini, Sophiya A. Zagrebina, Georgy A. Sviridyuk
Abstract:
We prove the existence of a unique solution for a linear stochastic
Sobolev-type equation with a relatively p-bounded operator and
a multipoint initial-final condition, in the space of ``noises''.
We apply the abstract results to specific multipoint initial-final
and boundary value problems for the linear Hoff equation which models
I-beam bulging under random load.
Submitted March 6, 2018. Published June 19, 2018.
Math Subject Classifications: 60H30, 34K50, 34M99.
Key Words: Dynamical Sobolev-type equation; Wiener K-process;
multipoint initial-final conditions;
Nelson-Gliklikh derivative;white noise; space of noises;
stochastic Hoff equation
Show me the PDF file (239 KB), TEX file for this article.
 |
Angelo Favini Department of Mathematics Bologna University Piazza di Porta San Donato 5, 40126 Bologna (BO), Italy email: angelo.favini@unibo.it |
|---|---|
 |
Sophiya A. Zagrebina Department of Mathematical and Computer Modelling South Ural State University, Lenin av., 76 Chelyabinsk, 454080, Russian Federation email: zagrebinasa@susu.ru |
 |
Georgy A. Sviridyuk Department of Mathematical Physics Equations South Ural State University, Lenin av., 76 Chelyabinsk, 454080, Russian Federation email: sviridyuk@susu.ru |
Return to the EJDE web page