Reflected BSDEs driven by G-Brownian motion with non-Lipschitz coefficients
In this paper, we consider the reflected backward stochastic differential equations driven by G-Brownian motion (reflected G-BSDEs) whose coefficients satisfy the beta-order Mao's condition. The uniqueness is obtained by some a priori estimates and the existence can be proved by two different m...
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Zusammenfassung: | In this paper, we consider the reflected backward stochastic differential
equations driven by G-Brownian motion (reflected G-BSDEs) whose coefficients
satisfy the beta-order Mao's condition. The uniqueness is obtained by some a
priori estimates and the existence can be proved by two different methods. The
first one is Picard iteration and the second one is approximation via
penalization. The latter construction is useful to get the comparison theorem. |
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DOI: | 10.48550/arxiv.2212.12108 |