The results presented provide information on the behavior near x1=0 for fixed t>0 in the sense of Lp-spaces with weights for functions u(t)=u(t, x1, x′) (x1≥0, x′∈Rd-1, t≥0) satisfying stochastic partial differential equations of type du(t)=(Δu(t)+f(t))dt+gk(t)dwkt with zero boundary condition on x1=0.
|Original language||English (US)|
|Number of pages||41|
|Journal||Journal of Functional Analysis|
|State||Published - Jun 20 2001|
Bibliographical noteFunding Information:
1The work was partially supported by NSF Grant DMS-9876586.
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