arXiv subjects

Elena Yu. Netay

Publications and source records attributed to Elena Yu. Netay.

2 recordsLinked to original sources

arXiv2015

Classification of $\mathbb{C}P^2$-multiplicative Hirzebruch genera

The short article [V.M. Buchstaber, E.Yu. Netay, $\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology, Russian Math. Surveys, 69:4 (2014), 757-759] states results on $\mathbb{C}P(2)$-multiplicative Hirzebruch genera. The aim of the following text is to give a proof of Theorem 3. This proof uses only the technique of functional differential equations.

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arXiv2014

Differential-algebraic solutions of the heat equation

In this work we introduce the notion of differential-algebraic ansatz for the heat equation and explicitly construct heat equation and Burgers equation solutions given a solution of a homogeneous non-linear ordinary differential equation of a special form. The ansatz for such solutions is called the $n$-ansatz, where $n+1$ is the order of the differential equation.

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