The Experts below are selected from a list of 13341 Experts worldwide ranked by ideXlab platform
Jing Zhang - One of the best experts on this subject based on the ideXlab platform.
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the obstacle problem for quasilinear stochastic pdes with Neumann Boundary Condition
Stochastics and Dynamics, 2019Co-Authors: Yuchao Dong, Xue Yang, Jing ZhangAbstract:We prove the existence and uniqueness of solution to obstacle problem for quasilinear stochastic partial differential equations with Neumann Boundary Condition. Our method is based on the analytica...
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The obstacle problem for quasilinear stochastic PDEs with Neumann Boundary Condition
Stochastics and Dynamics, 2019Co-Authors: Yuchao Dong, Xue Yang, Jing ZhangAbstract:We prove the existence and uniqueness of solution to obstacle problem for quasilinear stochastic partial differential equations with Neumann Boundary Condition. Our method is based on the analytical techniques coming from parabolic potential theory. The solution is expressed as a pair [Formula: see text] where [Formula: see text] is a predictable continuous process which takes values in a proper Sobolev space and [Formula: see text] is a random regular measure satisfying minimal Skohorod Condition.
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the obstacle problem for quasilinear stochastic pdes with Neumann Boundary Condition
arXiv: Probability, 2018Co-Authors: Yuchao Dong, Xue Yang, Jing ZhangAbstract:We prove the existence and uniqueness of solution of the obstacle problem for quasilinear stochastic partial differential equations (OSPDEs for short) with Neumann Boundary Condition. Our method is based on the analytical technics coming from parabolic potential theory. The solution is expressed as a pair $(u,\nu)$ where $u$ is a predictable continuous process which takes values in a proper Sobolev space and $\nu$ is a random regular measure satisfying minimal Skohorod Condition.
Auguste Aman - One of the best experts on this subject based on the ideXlab platform.
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obstacle problem for spde with nonlinear Neumann Boundary Condition via reflected generalized backward doubly sdes
arXiv: Probability, 2010Co-Authors: Auguste Aman, Naoul MrhardyAbstract:This paper is intended to give a representation for stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann Boundary Condition. We use its connection with reflected generalized backward doubly stochastic differential equations.
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Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann Boundary Condition
arXiv: Probability, 2010Co-Authors: Auguste Aman, Yong RenAbstract:This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann Boundary Condition. Using the recently developed theory on generalized backward doubly stochastic differential equations driven by a L\'evy process, we prove the existence of the stochastic viscosity solution, and further extend the nonlinear Feynman-Kac formula.
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Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann Boundary Condition
2010Co-Authors: Auguste Aman, Yon RenAbstract:This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann Boundary Condition. Using the recently developed theory on generalized backward doubly stochastic differential equations driven by a Lévy process, we prove the existence of the stochastic viscosity solution, and further extend the nonlinear Feynman-Kac formula.
Yong Ren - One of the best experts on this subject based on the ideXlab platform.
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Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann Boundary Condition
arXiv: Probability, 2010Co-Authors: Auguste Aman, Yong RenAbstract:This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann Boundary Condition. Using the recently developed theory on generalized backward doubly stochastic differential equations driven by a L\'evy process, we prove the existence of the stochastic viscosity solution, and further extend the nonlinear Feynman-Kac formula.
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Generalized reflected BSDE and an obstacle problem for PDEs with a nonlinear Neumann Boundary Condition
Stochastic Analysis and Applications, 2006Co-Authors: Yong Ren, Ningmao XiaAbstract:In this article, we derive the existence and uniqueness of the solution for a class of generalized reflected backward stochastic differential equation involving the integral with respect to a continuous process, which is the local time of the diffusion on the Boundary, in using the penalization method. We also give a characterization of the solution as the value function of an optimal stopping time problem. Then we give a probabilistic formula for the viscosity solution of an obstacle problem for PDEs with a nonlinear Neumann Boundary Condition.
G Takacs - One of the best experts on this subject based on the ideXlab platform.
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Boundary states and finite size effects in sine gordon model with Neumann Boundary Condition
Nuclear Physics, 2001Co-Authors: Zoltan Bajnok, L Palla, G TakacsAbstract:Abstract The sine-Gordon model with Neumann Boundary Condition is investigated. Using the bootstrap principle the spectrum of Boundary bound states is established. Somewhat surprisingly it is found that Coleman–Thun diagrams and bound state creation may coexist. A framework to describe finite size effects in Boundary integrable theories is developed and used together with the truncated conformal space approach to confirm the bound states and reflection factors derived by bootstrap.
Xiang-ping Yan - One of the best experts on this subject based on the ideXlab platform.
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Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition
International Journal of Bifurcation and Chaos, 2019Co-Authors: Xiang-ping Yan, Ya-jun Ding, Cun-hua ZhangAbstract:A reaction–diffusion Gierer–Meinhardt system with homogeneous Neumann Boundary Condition on one-dimensional bounded spatial domain is considered in the present article. Local asymptotic stability, ...
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dynamics analysis in a gierer meinhardt reaction diffusion model with homogeneous Neumann Boundary Condition
International Journal of Bifurcation and Chaos, 2019Co-Authors: Xiang-ping Yan, Ya-jun Ding, Cun-hua ZhangAbstract:A reaction–diffusion Gierer–Meinhardt system with homogeneous Neumann Boundary Condition on one-dimensional bounded spatial domain is considered in the present article. Local asymptotic stability, ...
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Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition
International Journal of Bifurcation and Chaos, 2019Co-Authors: Xiang-ping Yan, Ya-jun Ding, Cun-hua ZhangAbstract:A reaction–diffusion Gierer–Meinhardt system with homogeneous Neumann Boundary Condition on one-dimensional bounded spatial domain is considered in the present article. Local asymptotic stability, Turing instability and existence of Hopf bifurcation of the constant positive equilibrium are explored by analyzing in detail the associated eigenvalue problem. Moreover, properties of spatially homogeneous Hopf bifurcation are carried out by employing the normal form method and the center manifold technique for reaction–diffusion equations. Finally, numerical simulations are also provided in order to check the obtained theoretical conclusions.
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Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition
Journal of Applied Mathematics, 2015Co-Authors: Cun-hua Zhang, Xiang-ping YanAbstract:A reaction-diffusion system coupled by two equations subject to homogeneous Neumann Boundary Condition on one-dimensional spatial domain with is considered. According to the normal form method and the center manifold theorem for reaction-diffusion equations, the explicit formulas determining the properties of Hopf bifurcation of spatially homogeneous and nonhomogeneous periodic solutions of system near the constant steady state are obtained.
