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On the Comparison and Uniqueness for Solutions of BSDEs with Continuous Coefficients
Backward stochastic differential equation comparison theorem uniqueness
2011/11/5
As we known that there may be more than one solution for backward stochastic differential equation with continuous coefficients and the comparison theorem for any solutions of two BSDEs does not hold ...
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Nonlinear Evolution Equations Locally Monotone Operators
2010/11/1
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
On the Uniqueness of Solutions of the Schrödinger Equation on Riemannian Symmetric Spaces of the Noncompact Type
the Schrö dinger Equation Riemannian Symmetric Spaces the Noncompact Type
2010/11/1
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
On the uniqueness of solutions to the Gross-Pitaewski hierarchy
Gross-Pitaewski hierarchy uniqueness
2007/4/3
The purpose of this note, in collaboration with M. Machedon, is to give a new proof of uniqueness of the Gross- Pitaevskii hierarchy, first established in a paper by L. Erdos- B. Schlein and H.T. Yau,...