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arXiv · 2402.06309

Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups

Franka Baaske·Hans-Jürgen Schmeißer·Hans Triebel
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Abstract

We present a new proof of the caloric smoothing related to the fractional Gauss-Weierstrass semi-group in Triebel-Lizorkin spaces. This property will be used to prove existence and uniqueness of mild and strong solutions of the Cauchy problem for a fractional nonlinear heat equation.

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Franka Baaske, Hans-Jürgen Schmeißer, Hans Triebel. 2024-02-09. Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups. https://arxiv.org/abs/2402.06309

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