Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$ estimations of fully coupled FBSDEs   In this study, for any given terminal time $T$, we establish an $L^p$ ($P>2$)
estimations of fully coupled FBSDEs based on the $L^2$ estimations. Yong [24]
proposed that a natural question is whether an adapted $L^2$-solution is an
adapted $L^p$ solution for some $p>2$. In this study, we give a positive answer
to this question. For any given terminal time $T$, based on an observation of
the relation between $L^2$ and $L^p$ estimations of FBSDEs, we prove that a
unique $L^2$-solution of fully coupled FBSDEs is an $L^p$-solution under
standard conditions on the coefficients. Furthermore, we show that the fully
coupled FBSDEs developed in the linear quadratic optimal control problem or
investigated by the "decoupling random field" method admit a unique
$L^p$-solution.

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The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci