Doob's ω-transform of parabolic problem for fractional Laplacian.
| Autor: | Bezzarga, Mounir, Kenzizi, Tarek, Nefzi, Chaima |
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| Zdroj: | Applicable Analysis; Feb2023, Vol. 102 Issue 3, p770-781, 12p |
| Abstrakt: | This paper studies the existence of nonnegative solutions for the following parabolic problem { L ω u + ∂ u ∂ t = 0 , in R d × (0 , T) , u (x , 0) = u 0 (x) , in R d , where T>0, L ω is a selfadjoint operator associated with a regular Dirichlet form Q, the initial value u 0 ∈ L 2 (R d) , u 0 ≥ 0 is a Borel measurable function. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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