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.
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References
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 6, pp. 847–852, June, 2014.
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Akhundov, A.Y., Gasanova, A.I. Determination of the Coefficient of a Semilinear Parabolic Equation for a Boundary-Value Problem with Nonlinear Boundary Condition. Ukr Math J 66, 949–954 (2014). https://doi.org/10.1007/s11253-014-0984-x
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DOI: https://doi.org/10.1007/s11253-014-0984-x