A. Shlapunov

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20192023

most citedMixed Problems with a Parameter

14 citations · 21 across the 11 of their papers we have counts for

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math.AP2023★ 14 cited

Mixed Problems with a Parameter

Alexander Shlapunov, Nikolai Tarkhanov

Let $X$ be a smooth $n$ -dimensional manifold and $D$ be an open connected set in $X$ with smooth boundary $\partial D$ . Perturbing the Cauchy problem for an elliptic system $Au =…

math.AP2022

Exterior extension problems for strongly elliptic operators: solvability and approximation using fundamental solutions

Vitaly Kalinin, Alexander Shlapunov

In this work we study three exterior extension problems for strongly elliptic partial equations: the Cauchy problem (in a special statement), the "analytical" continuation problem…

math.AP2022

The Fredholm Navier-Stokes type equations for the de Rham complex over weighted Hölder spaces

Kseniya Gagelgans, Alexander Shlapunov

We consider a family of initial problems for the Navier-Stokes type equations generated by the de Rham complex in $R^{n} \times [0, T]$ , $n \geq 2$ , with a positive time $T$ …

math.AP2022

Approximation of solutions to parabolic Lamé type operators in cylinder domains and Carleman's formulas for them

Pavel Vilkov, Il'ya Kurilenko, Alexander Shlapunov

Let $s \in N$ , $T_{1}, T_{2} \in R$ , $T_{1} < T_{2}$ , and let $Ω, ω$ be bounded domains in $R^{n}$ , $n \geq 1$ such that $ω \subset Ω$ and the complement $Ω\setminu…

math.AP2021

Inverse image of precompact sets and existence theorems for the Navier-Stokes equations in spatially periodic setting

Alexander Shlapunov, Nikolai Tarkhanov

We consider the initial problem for the Navier-Stokes equations over $R^{3} \times [0, T]$ with a positive time $T$ in the spatially periodic setting. Identifying periodic v…

math.AP2021

On the uniqueness theorems for transmissions problems related to models of elasticity, diffusion and electrocardiography

Alexander Shlapunov, Yulia Shefer

We consider a generalization of the inverse problem of the electrocardiography in the framework of the theory of elliptic and parabolic differential operators. More precisely, star…