Abstract | ||
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Equations of the form du = (a(ij)u(xixj) +D(i)f(i)) dt + Sigma(k) (sigma(ik)u(xi) + g(k)) dw(t)(k) are considered for t > 0 and x is an element of R-+(d). The unique solvability of these equations is proved in weighted Sobolev spaces with fractional positive or negative derivatives, summable to the power p is an element of [2, infinity). |
Year | DOI | Venue |
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1999 | 10.1137/S0036141098338843 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
stochastic partial differential equations,Sobolev spaces with weights | Journal | 31 |
Issue | ISSN | Citations |
1 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
N. V. Krylov | 1 | 5 | 11.53 |
S. V. Lototsky | 2 | 0 | 0.34 |