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arXiv · 2608.21630

Spatial and temporal analyticity of solutions to semi-linear parabolic systems with analytic nonlinearities

Nubogh B. Qumsiyeh Al-Atrash·Edriss S. Titi
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Abstract

It is shown that the solutions to a wide class of semi-linear parabolic equations with analytic (holomorphic) nonlinearity, with spatially periodic boundary conditions, are analytic in time with values in the Gevrey class of analytic functions with respect to the spatial variable.

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Nubogh B. Qumsiyeh Al-Atrash, Edriss S. Titi. 2026-08-21. Spatial and temporal analyticity of solutions to semi-linear parabolic systems with analytic nonlinearities. https://arxiv.org/abs/2608.21630

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