The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α opera...The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α operators and local Lipschitz functions. Some applications to the theory of sublinear expectation spaces are given.展开更多
One existence integral condition was obtained for the adapted solution of the general backward stochastic differential equations(BSDEs). Then by solving the integral constraint condition, and using a limit procedure, ...One existence integral condition was obtained for the adapted solution of the general backward stochastic differential equations(BSDEs). Then by solving the integral constraint condition, and using a limit procedure, a new approach method is proposed and the existence of the solution was proved for the BSDEs if the diffusion coefficients satisfy the locally Lipschitz condition. In the special case the solution was a Brownian bridge. The uniqueness is also considered in the meaning of "F0-integrable equivalent class" . The new approach method would give us an efficient way to control the main object instead of the "noise".展开更多
在这份报纸，我们学习下列非线性的 BSDE:y (t) +1t f ( s ， y ， z ) ds+1t [ z +g1 ( s ， y ) +g2 ( s ， y ， z )] dWs =， t [ 0,1 ]，吗小 parameter.The 系数 f 在哪儿，是局部地在 y 和 z 的 Lipschitz ，系数 g1 是局部地...在这份报纸，我们学习下列非线性的 BSDE:y (t) +1t f ( s ， y ， z ) ds+1t [ z +g1 ( s ， y ) +g2 ( s ， y ， z )] dWs =， t [ 0,1 ]，吗小 parameter.The 系数 f 在哪儿，是局部地在 y 和 z 的 Lipschitz ，系数 g1 是局部地在 y 的 Lipschitz ，和系数 g2 是一致地在 y 的 Lipschitz 和 z.Let 行是局部地球 B 上的系数的 Lipschitz 常数( O ，吗 N ) Ra 栠浡汩潴楮湡??????????€ ???€ ??瘠?????????栠浡汩潴楮湡?????匠???????牯敤?湉?????????????????栠浡汩潴楮湡？？展开更多
In this paper, wavelet,transform is introduced to study the Lipschitz local singular exponent for characterising the local singularity behavior of fluctuating velocity in wall turbulence. I, is found that the local si...In this paper, wavelet,transform is introduced to study the Lipschitz local singular exponent for characterising the local singularity behavior of fluctuating velocity in wall turbulence. I, is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.展开更多
In this paper, we give the four equivalent characterizations for the weighted local hardy spaces on Lipschitz domains. Also, we give their application for the harmonic function defined in bounded Lipschitz domains.
基金Supported by National Natural Science Foundation of China(Grant Nos.11171197,11371012)the Fundamental Research Funds for the Central Universities(Grant No.GK201301007)
文摘The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α operators and local Lipschitz functions. Some applications to the theory of sublinear expectation spaces are given.
基金National Natural Science Foundation of China ( No. 11171062 ) Natural Science Foundation for the Youth,China ( No.11101077) Innovation Program of Shanghai Municipal Education Commission,China ( No. 12ZZ063)
文摘One existence integral condition was obtained for the adapted solution of the general backward stochastic differential equations(BSDEs). Then by solving the integral constraint condition, and using a limit procedure, a new approach method is proposed and the existence of the solution was proved for the BSDEs if the diffusion coefficients satisfy the locally Lipschitz condition. In the special case the solution was a Brownian bridge. The uniqueness is also considered in the meaning of "F0-integrable equivalent class" . The new approach method would give us an efficient way to control the main object instead of the "noise".
文摘在这份报纸，我们学习下列非线性的 BSDE:y (t) +1t f ( s ， y ， z ) ds+1t [ z +g1 ( s ， y ) +g2 ( s ， y ， z )] dWs =， t [ 0,1 ]，吗小 parameter.The 系数 f 在哪儿，是局部地在 y 和 z 的 Lipschitz ，系数 g1 是局部地在 y 的 Lipschitz ，和系数 g2 是一致地在 y 的 Lipschitz 和 z.Let 行是局部地球 B 上的系数的 Lipschitz 常数( O ，吗 N ) Ra 栠浡汩潴楮湡??????????€ ???€ ??瘠?????????栠浡汩潴楮湡?????匠???????牯敤?湉?????????????????栠浡汩潴楮湡？？
文摘In this paper, wavelet,transform is introduced to study the Lipschitz local singular exponent for characterising the local singularity behavior of fluctuating velocity in wall turbulence. I, is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.
基金Project supported by the National Natural Science Foundation of China (No. 10377108)the Natural Science Foundation of Guangdong Province (No. 031495), China
文摘In this paper, we give the four equivalent characterizations for the weighted local hardy spaces on Lipschitz domains. Also, we give their application for the harmonic function defined in bounded Lipschitz domains.
