Results 21 to 30 of about 727,614 (177)

Anticipated BSDEs Driven by Fractional Brownian Motion with a Time-Delayed Generator

Mathematics, 2023
This article describes a new form of an anticipated backward stochastic differential equation (BSDE) with a time-delayed generator driven by fractional Brownian motion, further known as fractional BSDE, with a Hurst parameter H∈(1/2,1).
Pei Zhang, Adriana Irawati Nur Ibrahim, Nur Anisah Mohamed   +2 more
doaj   +1 more source

Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with ϵ-Range

Analysis and Geometry in Metric Spaces, 2022
We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function.
Lu Yufeng, Minguzzi Ettore, Ohta Shin-ichi   +2 more
doaj   +1 more source

Mean-Field and Anticipated BSDEs with Time-Delayed Generator

Mathematics, 2023
In this paper, we discuss a new type of mean-field anticipated backward stochastic differential equation with a time-delayed generator (MF-DABSDEs) which extends the results of the anticipated backward stochastic differential equation to the case of mean-
Pei Zhang, Nur Anisah Mohamed, Adriana Irawati Nur Ibrahim   +2 more
doaj   +1 more source

The $K$-groups and the index theory of certain comparison $C^*$-algebras [PDF]

, 2010
We compute the $K$-theory of comparison $C^*$-algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras introduced by Connes and Moscovici \cite{M3}. Our calculation is obtained by
Monthubert, Bertrand, Nistor, Victor
core   +5 more sources

Addendum to Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper serves as an addendum to the paper titled Methods of extending lower order problems to higher order problems in the context of smallest eigenvalue comparisons appearing in EJQTDE no. 99, 2011.
Jeffrey Neugebauer
doaj   +1 more source

Logarithmic Comparison Theorems

, 2023
35 pages; to appear in Handbook of Geometry and Topology of Singularities ...
Castro-Jiménez, Francisco-Jesús, Mond, David, Narváez-Macarro, Luis   +2 more
openaire   +2 more sources

Backward doubly stochastic differential equations with weak assumptions on the coefficients

, 2011
In this paper, we deal with one dimensional backward doubly stochastic differential equations (BDSDEs) where the coefficient is left Lipschitz in y (may be discontinuous) and uniformly continuous in z.
Bahlali, Bahlali, Briand, Crandall, Darling, Hamadène, Jia, Kobylanski, Lepeltier, Lin, Lin, Lin, Pardoux, Pardoux, Qian Lin, Shi   +15 more
core   +1 more source

Log $\mathscr{D}$-modules and index theorems

Forum of Mathematics, Sigma, 2021
We study log $\mathscr {D}$-modules on smooth log pairs and construct a comparison theorem of log de Rham complexes. The proof uses Sabbah’s generalized b-functions.
Lei Wu, Peng Zhou
doaj   +1 more source

A converse comparison theorem for backward stochastic differential equations with jumps

, 2011
This paper establishes a converse comparison theorem for real-valued decoupled forward backward stochastic differential equations with jumps.Comment: The former version contains an error in the proof of the main theorem. This version presents a similar
Briand, Chen, Coquet, El Karoui, Jiang, Jiang, Pardoux, Peng, Royer, Tang, Xavier De Scheemaekere   +10 more
core   +1 more source

Complete bounded $\lambda$-hypersurfaces in the weighted volume-preserving mean curvature flow

, 2017
In this paper, we study the complete bounded $\lambda$-hypersurfaces in weighted volume-preserving mean curvature flow. Firstly, we investigate the volume comparison theorem of complete bounded $\lambda$-hypersurfaces with $|A|\leq\alpha$ and get some ...
Chen, Qing, Fang, Yi, Zhu, Yecheng
core   +1 more source