2 papers
math.AP2024
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
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…
math.AP2023
On the Cauchy problem for a semi-linear hyperdissipative heat equation
Franka Baaske, Romaric Kana Nguedia
The paper is concerned with the Cauchy problem for a semi-linear hyperdissipative heat equation in Besov and Triebel-Lizorkin spaces which is related to the generalized Gauss-Weier…