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Global well posedness of a class of stochastic equations with jumps
... In [], the intensity measure λ of N(dt, dx) is finite, while the intensity measure in this article is σ -finite, and also the classical Lipschitz condition (.) in [] is relaxed to condi- tion (A.) in this article. ... See full document
23
Freidlin Wentzell’s Large Deviations for Stochastic Evolution Equations with Poisson Jumps
... they established the LDP by proving some exponential integrability on different spaces. Later, Budhiraja, Chen and Dupuis developed a large deviation for small Poisson perturbations of a more general class of ... See full document
20
Successive approximation of solutions to doubly perturbed stochastic differential equations with jumps
... | b ( t, x ) − b ( t, y )| ≤ ρ (| x − y |) . (1.5) From the analysis of Section 5, the coefficients of equation (1.3) do not satisfy the global Lip- schitz condition [8] or non-Lipschitz condition [9, 10]. In ... See full document
19
Approximate solutions of hybrid stochastic pantograph equations with Levy jumps
... a class of stochastic pantograph differential equations with Markovian switching and Levy ...as well as in probability under local Lipschitz condition and generalize the results obtained by ... See full document
16
Well posedness of a class of two point boundary value problems associated with ordinary differential equations
... of equations becomes a stochastic Hamilton system when taking random noise into consideration, which also can be called the forward–backward stochastic dif- ferential equations ...The ... See full document
12
Stability of stochastic differential equations in infinite dimensions
... of equations, impulsive stochastic delay differential equations with Poisson jumps and stochastic retarded evolution equations with Poisson jumps by using fixed point ... See full document
203
Well posedness of the stochastic Boussinesq equation driven by Levy processes
... of global fragile solution for the Boussinesq equa- tion perturbed by Levy ...abstract stochastic hydrodynamical equations driven by Levy noise are presented in ... See full document
22
On the averaging principle for stochastic delay differential equations with jumps
... a class of stochastic delay differential equations (SDDEs) with variable delays and ...averaged stochastic equations and that of the standard stochastic ... See full document
19
On the well-posedness of a class of non-autonomous SPDEs : an operator-theoretical perspective
... non-linear stochastic partial differential inclusions can like-wise be ...of stochastic evolutionary ...of stochastic integration as outlined in ...evolutionary equations is provided in ... See full document
23
Persistence of global well posedness for the 2D Boussinesq equations with fractional dissipation
... the global regularity issue when only fractional dissipation is ...and global well-posedness and gave some blowup criteria with the velocity or ...the global ... See full document
19
Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
... is a generalized type I resp., generalized type II LP approximating solution sequence if and only if it is a generalized type I resp., generalized type II LP minimizing sequence of P. So VQVI is generalized type I resp., ... See full document
16
Global well posedness of 2D generalized MHD equations with fractional diffusion
... Global well-posedness of 2D generalized MHD equations with fractional diffusion Zhiqiang Wei1* and Weiyi Zhu2 * Correspondence: [email protected] 1 School of Mathematics and Informa[r] ... See full document
5
Existence of Solutions to Path Dependent Kinetic Equations and Related Forward Backward Systems
... Theorem 2.2 (global wellposedness for an “adapted” case) Under the assumptions in Theorem 2.1, but without the locality constraint (12), the Cauchy problem (5) is well posed in and its unique solution ... See full document
6
Global well posedness of the dynamic Φ4 model in the plane
... The actual construction of solutions of (1.1) is performed in the remaining sections. In Section 5, we recall some probabilistic preliminaries, and give a construction of solutions of the stochastic heat equation ... See full document
61
Global well-posedness for nonlinear fourth-order Schrödinger equations
... the global existence and blow up for the problem by potential well theory is still not considered for μ = ...potential well theory. Re- cently, the concavity method and potential well theory ... See full document
8
Existence of solutions to path dependent kinetic equations and related forward backward systems
... Theorem 2.2 (global wellposedness for an “adapted” case) Under the assumptions in Theorem 2.1, but without the locality constraint (12), the Cauchy problem (5) is well posed in and its unique solution ... See full document
7
Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations
... differential equations (ODE) of finite order and then to use an a priori estimate to establish the convergence of these solutions of ODE to the solutions of equations ... See full document
6
On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Model
... Our strategy to prove the above is as follows: we first derive a priori estimates for the f, m, r, s variables. We then show existence of a solution to 1.1. Note, showing existence of a solution to 1.1 requires a priori ... See full document
29
Global well-posedness for the viscous primitive equations of geophysics
... Before going further, let us first make a short review on the study of the well-posedness topic of this problem. By taking full advantage of the absence of resonances between the fast rotation and the ... See full document
16
Weak order in averaging principle for stochastic differential equations with jumps
... other word, we will determine the order, with respect to timescale parameter , of weak deviation between original solution to slow equation and the solution of the corresponding averaged equation. The main technique we ... See full document
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