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News
October 1, 2026
HSE Researchers Show How Congenital Motor Disorders Affect Brain Development
Researchers from HSE University’s Institute for Cognitive Neuroscience have synthesised the findings of their previous studies on brain development in children with obstetric brachial plexus palsy and arthrogryposis. Their analysis shows that impaired motor function in early childhood not only limits children’s motor experience but also affects memory, categorical thinking, and information processing. The study has been published in Frontiers in Psychology.
October 1, 2026
Window into the Body: Scientists Develop Neural Network to Detect Risk of 15 Diseases from Retinal Images
Russian universities, with the participation of HSE University, Sber, and Z-union, have developed a neural network that can simultaneously assess the risk of 15 types of pathology from retinal photographs, including not only eye diseases but also cardiovascular conditions. The AI system can help clinicians detect potentially concerning changes at an early stage, identify signs reflecting the condition of retinal blood vessels, and determine whether a patient may need further examination. The paper has been published in Frontiers in Medicine.
September 30, 2026
'We Did Not Limit the Time for Questions'
The International Laboratory for Supercomputer Atomistic Modelling and Multi-Scale Analysis at HSE University held a major conference on molecular dynamics. Participants had the opportunity to attend all the presentations, while speakers were given as much time as they needed to answer questions. The HSE News Service interviewed Grigory Smirnov, Head of the Laboratory, and Genri Norman, Chief Research Fellow, about the conference preparations and the discussions it generated.

 

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Existence theorems for elliptic equations in unbounded domains

P. 47–50.
Armen Beklaryan

We consider the first boundary value problem for elliptic systems defined in unbounded domains, which solutions satisfy the condition of finiteness of the Dirichlet integral also called the energy integral.

Language: English
Full text
Keywords: partial differential equationдифференциальные уравнения с частными производнымиcapacitancedivergent operatorуравнение Лапласаемкость компакта

In book

III International Conference on Optimization Methods and Application (OPTIMA-2012), Costa da Caparica, Portugal, september 2012
III International Conference on Optimization Methods and Application (OPTIMA-2012), Costa da Caparica, Portugal, september 2012
M.: -, 2012.
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Added: October 27, 2022
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In a recent paper, given an arbitrary homogeneous cohomological field theory (CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a bracket on the space of local functionals, which conjecturally gives a second Hamiltonian structure for the double ramification hierarchy associated to the CohFT. In this paper we prove this conjecture in ...
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Малые установившиеся гравитационные колебания жидкости в бассейне с коническим дном при высокой частоте.
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Influence of the random walk finite step on the first-passage probability
Klimenkova O., Menshutin A., Shchur L., Journal of Physics: Conference Series 2018 Vol. 955 No. 012009 P. 1–6
A well known connection between first-passage probability of random walk and distribution of electrical potential described by Laplace equation is studied. We simulate random walk in the plane numerically as a discrete time process with fixed step length. We measure first-passage probability to touch the absorbing sphere of radius R in 2D. We found a regular deviation of the ...
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On the existence of solutions of the first boundary value problem for elliptic equations on unbounded domains
Armen L. Beklaryan, International Journal of Pure and Applied Mathematics 2013 Vol. 88 No. 4 P. 499–522
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Added: September 29, 2013
On an Optimal Control Problem for the Wave Equation in One Space Dimension Controlled by Third Type Boundary Data
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