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On the inverse problem for one-dimensional Burgers' equation from the interior observation
  • Nguyen Thi Ngoc Oanh
Nguyen Thi Ngoc Oanh
Thai Nguyen University of Sciences

Corresponding Author:[email protected]

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Abstract

In this work, we study the inverse problem of finding the initial condition for one-dimensional Burgers' equation from the interior observation. Using the variational method, the inverse problem is reformulated as a optimal control problem. The necessary optimality condition will be calculated. We also use the conjugate gradient method to find the minimum of objective functional.