Well posedness for one class of elliptic equations with drift

Autor: Kordan N. Ospanov
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Boundary Value Problems, Vol 2023, Iss 1, Pp 1-11 (2023)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-023-01727-0
Popis: Abstract We studied one class of second-order elliptic equations with intermediate coefficient and proved that the semi-periodic problem on a strip is unique solvable in Hilbert space. We assume that the intermediate coefficient of the equation is continuously differentiable and grows rapidly near infinity, for example, it grows faster than ( | x | + 1 ) ln ( | x | + 3 ) $(|x|+1 ) \ln (|x|+3)$ . However, we do not impose bounds on its derivatives. We believe that the lower-order coefficient is continuous, can be unlimited and change sign.
Databáze: Directory of Open Access Journals
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