Qualitative and approximate characteristics of solutions of Beltrami-type systems

Ospanov, Kordan N.

doi:10.1080/17476933.2015.1025066

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Introduction and Formulation Of The Results1

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Cited by 5 publications

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“…If (3) holds, then first-order systems (4) and ( 5) are correctly solvable (see [13,14]), and for their solutions ω and p, respectively, the following estimates hold:…”

Section: Introduction and Formulation Of The Resultsmentioning

confidence: 99%

Well posedness for one class of elliptic equations with drift

Ospanov

2023

Bound Value Probl

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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.

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“…If (3) holds, then first-order systems (4) and ( 5) are correctly solvable (see [13,14]), and for their solutions ω and p, respectively, the following estimates hold:…”

Section: Introduction and Formulation Of The Resultsmentioning

confidence: 99%