10,606 research outputs found
Cordes-Nirenberg type estimates for nonlocal parabolic equations
In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal
parabolic equations on the more flexible solution space L^{\iy}_T(L^1_{\om})
than the classical solution space \rB(\BR^n_T) consisting of all bounded
functions on \BR^n_T.Comment: Recently our result was revised on more general solution space than
the previous versio
Examples of Matrix Factorizations from SYZ
We find matrix factorization corresponding to an anti-diagonal in , and circle fibers in weighted projective lines
using the idea of Chan and Leung of Strominger-Yau-Zaslow transformations. For
the tear drop orbifolds, we apply this idea to find matrix factorizations for
two types of potential, the usual Hori-Vafa potential or the bulk deformed
(orbi)-potential. We also show that the direct sum of anti-diagonal with its
shift, is equivalent to the direct sum of central torus fibers with holonomy
and in the Fukaya category of , which was predicted by Kapustin and Li from B-model calculations
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