Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups

Autor:	Aidyn Kassymov, Niyaz Tokmagambetov, Berikbol T. Torebek
Rok vydání:	2020
Předmět:	010101 applied mathematics Nonlinear system Pure mathematics General Mathematics Hypoelliptic operator 010102 general mathematics Mathematics::Analysis of PDEs Lie group 0101 mathematics Type (model theory) 01 natural sciences Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 43:4223-4243
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-020-00919-6
Popis:	In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on $${\mathbb {R}}^{n}$$ , Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we obtain nonexistence results for nonlinear hyperbolic and pseudo-hyperbolic equations and systems on graded Lie groups. Also, we show Kato-type exponents for systems of pseudo-hyperbolic equations for Rockland operators on graded Lie groups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4bd0b3e37f12b393cca3423af7e9f9ba https://doi.org/10.1007/s40840-020-00919-6 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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