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math.AP2017
Convergence rates in expectation for a nonlinear backward parabolic equation with Gaussian white noise
Erkan Nane, Nguyen Huy Tuan
The main purpose of this paper is to study the problem of determining initial condition of nonlinear parabolic equation from noisy observations of the final condition. We introduce…
math.AP2017
Regularized solutions for some backward nonlinear parabolic equations with statistical data
Mokhtar Kirane, Erkan Nane, Nguyen Huy Tuan
In this paper, we study the backward problem of determining initial condition for some class of nonlinear parabolic equations in multidimensional domain where data are given under…