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arXiv · 2406.05973

Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

Duvan Cardona·Julio Delgado·Michael Ruzhansky
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Abstract

In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By applying the toroidal pseudo-differential calculus we establish regularity estimates, existence and uniqueness in the scale of the standard Sobolev spaces on the torus

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Duvan Cardona, Julio Delgado, Michael Ruzhansky. 2024-06-10. Well-posedness for a class of pseudo-differential hyperbolic equations on the torus. https://arxiv.org/abs/2406.05973

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