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<p>We examine the classical local solvability for the Cauchy problem and boundary-value problems on the half-line for the Rosenau–Burgers equation. Using the method of test functions we also obtain an upper bound of the blow-up time.</p>

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UNIQUE CLASSICAL SOLVABILITY OF THE ROSENAU–BURGERS EQUATION ON THE LINE AND THE HALF-LINE

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • I. K. Katasheva

摘要

We examine the classical local solvability for the Cauchy problem and boundary-value problems on the half-line for the Rosenau–Burgers equation. Using the method of test functions we also obtain an upper bound of the blow-up time.