Well posedness for one class of elliptic equations with drift
Ospanov K.N.
December 2023Springer Science and Business Media Deutschland GmbH
Boundary Value Problems
2023#2023Issue 1
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). However, we do not impose bounds on its derivatives. We believe that the lower-order coefficient is continuous, can be unlimited and change sign.
Correctness , Drift , Elliptic equation , Estimate of the norm of a solution , Unbounded coefficient
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L.N Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
L.N Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026