2017
Том 69
№ 6

All Issues

Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition

Akhundov A. Ya.

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Abstract

We study the well-posedness of the inverse problem of determination of the coefficient of a minor term of a semilinear parabolic equation in the presence of a nonlinear boundary condition. The additional condition is given in the nonlocal integral form. A uniqueness theorem and a “conditional” stability theorem are proved.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 6, pp 949-954.

Citation Example: Akhundov A. Ya. Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition // Ukr. Mat. Zh. - 2014. - 66, № 6. - pp. 847–852.

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