Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces

Autor:	Andreas Debrouwere, Thomas Kalmes
Přispěvatelé:	Mathematics-TW
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis Mathematics - Analysis of PDEs 35G15 35H10 46F05 46F20 General Mathematics FOS: Mathematics Analysis of PDEs (math.AP) Functional Analysis (math.FA)
DOI:	10.1007/s00208-022-02411-x
Popis:	We study ultradistributional boundary values of zero solutions of a hypoelliptic constant coefficient partial differential operator $P(D) = P(D_x, D_t)$ on $\mathbb{R}^{d+1}$. Our work unifies and considerably extends various classical results of Komatsu and Matsuzawa about boundary values of holomorphic functions, harmonic functions and zero solutions of the heat equation in ultradistribution spaces. We also give new proofs of several results of Langenbruch [23] about distributional boundary values of zero solutions of $P(D)$. Comment: 31 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4367448d1033a29335043b7041790f71 https://doi.org/10.1007/s00208-022-02411-x Zobrazit plný text záznamu