Based on the Bloch principle, we obtain local equilibrium conditions for solutions to the Cauchy problem with bounded energy for the one-dimensional Carleman equation in the weighted L2 spaces. Bibliography: 5 titles. Illustrations: 1 figure.
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Translated from Problemy Matematicheskogo Analiza 82, September 2015, pp. 111-163.
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Radkevich, E.V. The Bloch Principle for L2(R) Stabilization of Solutions to the Cauchy Problem for the Carleman Equation. J Math Sci 210, 677–735 (2015). https://doi.org/10.1007/s10958-015-2586-z
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DOI: https://doi.org/10.1007/s10958-015-2586-z