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On Abstract Third-Order Differential Equation and Its Applications

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Abstract

In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We assume that the inhomogeneity appearing in the right-hand term of this equation belongs to some anistropic Hölder spaces. We illustrate our results by a BVP involving a 3D Laplacian posed in a cusp domain of ℝ4.

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Correspondence to Belkacem Chaouchi.

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Chaouchi, B., Benaissa, L. & Kostić, M. On Abstract Third-Order Differential Equation and Its Applications. Acta. Math. Sin.-English Ser. 39, 399–411 (2023). https://doi.org/10.1007/s10114-023-1530-2

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  • DOI: https://doi.org/10.1007/s10114-023-1530-2

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