I. Kurilenko

most citedOn the ill-posed Cauchy problem for the polyharmonic heat equation

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2022★ 1 cited

On the ill-posed Cauchy problem for the polyharmonic heat equation

Ilya Kurilenko, Alexander Shlapunov

We consider the ill-posed Cauchy problem for the polyharmonic heat equation on recovering a function, satisfying the equation $(\partial_{t} + (- Δ)^{m}) u = 0$ in a cylindrical domain…

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…