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On global behavior of solutions to an inverse problem for nonlinear parabolic equations |
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| Authors: | A Eden |
| Institution: | a Department of Mathematics, Bogaziçi University, Istanbul, Turkey b Department of Mathematics, Koç University, Istanbul, Turkey |
| 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. |
| Keywords: | Global nonexistence Inverse problem Nonlinear parabolic equations Concavity argument Stability |
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