Opuscula Mathematica
Opuscula Math. 26, no. 2 (2006), 327-342

A dynamical inverse problem for a parabolic equation

Vyacheslav Maksimov
Abstract. A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration is designed. This algorithm is stable with respect to informational noises and computational errors.
Keywords: nonlinear parabolic equations, inverse problem.
Mathematics Subject Classification: 35K90, 35R30.
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Vyacheslav Maksimov
Ural Branch of Russian Academy of Sciences, Institute of Mathematics and Mechanics, S. Kovalevskaya Str. 16, Ekaterinburg, 620219 Russia
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Received: 2005-09-26.
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Vyacheslav Maksimov, A dynamical inverse problem for a parabolic equation, Opuscula Math. 26, no. 2 (2006), 327-342, http://dx.doi.org/10.7494/OpMath.2006.26.2.327.
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