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math.AP2025
Besov spaces associated with the Harmonic oscillator
Reika Fukuizumi, Tsukasa Iwabuchi
The Besov space associated with the harmonic oscillator is introduced and thoroughly explored in this paper. It provides a comprehensive summary of the fundamental concepts of the…
math.AP2025
Higher-order derivative estimates for the heat equation on a smooth domain
Yoshinori Furuto, Tsukasa Iwabuchi
We consider the linear heat equation on a bounded domain and on an exterior domain. We study estimates of any order derivatives of the solution locally in time in the Lebesgue spac…