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On global behavior of solutions to an inverse problem for nonlinear parabolic equations

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Eden, A.

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Abstract

We find conditions on data guaranteeing global nonexistence of solutions to an inverse source problem for a class of nonlinear parabolic equations. We also establish a stability result on a bounded domain for a problem with the opposite sign on the power type nonlinearity.

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Academic Press Inc Elsevier Science

Subject

Mathematics, applied, Mathematics

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Journal of Mathematical Analysis and Applications

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DOI

10.1016/j.jmaa.2005.01.007

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