We study the large time behaviour of mild solutions of HJB equations ininfinite dimension by a purely probabilistic approach. For that purpose, weshow that the solution of a BSDE in finite horizon $T$ taken at initial timebehaves like a linear term in $T$ shifted with the solution of the associatedEBSDE taken at initial time. Moreover we give an explicit speed of convergence,which seems to appear very rarely in literature.
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机译:我们通过纯概率方法研究了无限维HJB方程的温和解的长时间行为。为此,我们显示了在初始时间采用有限水平$ T $的BSDE的解,就像$ T $中的线性项随着在初始时间采用的relatedEBSDE的解而偏移一样。此外,我们给出了一个明确的收敛速度,这在文献中似乎很少出现。
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