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arXiv · 2411.15810

On direct and inverse problems for odd-order systems of quasilinear evolution equations

O. S. Balashov·A. V. Faminskii
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Abstract

Direct and inverse initial-boundary problems on a bounded interval for systems of quasilinear evolution equations with general nonlinearities are considered. In the case of inverse problems conditions of integral overdetermination are introduced and right-hand sides of equations of special types are chosen as controls. Results on well-posedness of such problems are established. Assumptions on smallness of the input data or smallness of a time interval are required.

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O. S. Balashov, A. V. Faminskii. 2024-11-24. On direct and inverse problems for odd-order systems of quasilinear evolution equations. https://arxiv.org/abs/2411.15810

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