The Cauchy problem for the stochastic generalized Benjamin-Ono equation
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DOI: 10.1007/s11425-019-1620-y
Abstract: The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation. By establishing the bilinear estimate, trilinear estimates in some Bourgain spaces, we prove that the Cauchy problem for the stochastic… read more here.
Keywords: generalized benjamin; cauchy problem; ono equation; problem stochastic ... See more keywords
The detour problem in a stochastic environment: Tolman revisited
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DOI: 10.1016/j.cogpsych.2017.12.002
Abstract: We designed a grid world task to study human planning and re-planning behavior in an unknown stochastic environment. In our grid world, participants were asked to travel from a random starting point to a random… read more here.
Keywords: stochastic environment; environment tolman; problem stochastic; tolman revisited ... See more keywords
A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes
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DOI: 10.1016/j.jmaa.2017.08.052
Abstract: Abstract We consider a control problem for the stochastic heat equation with Neumann boundary condition, where controls and noise terms are defined inside the domain as well as on the boundary. The noise terms are… read more here.
Keywords: control problem; wiener processes; problem stochastic; stochastic heat ... See more keywords
On the Cauchy problem for stochastic parabolic equations in Hölder spaces
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DOI: 10.1090/tran/7533
Abstract: In this paper, we establish a sharp $C^{2+\alpha}$-theory for stochastic partial differential equations of parabolic type in the whole space. read more here.
Keywords: stochastic parabolic; lder spaces; cauchy problem; problem stochastic ... See more keywords