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Poincare--Riemann--Hilbert boundary-valu...

Durmagambetov, A. A....

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Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems by Durmagambetov, A. A. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	Using the example of a complicated problem such as the Cauchy problem for the Navier--Stokes equation, we show how the Poincar\'e--Riemann--Hilbert boundary-value problem enables us to construct effective estimates of solutions for this case. The apparatus of the three-dimensional inverse problem of quantum scattering theory is developed for this. It is shown that the unitary scattering operator can be studied as a solution of the Poincar\'e--Riemann--Hilbert boundary-value problem. The same scheme of reduction of Riemann integral equations for the zeta function to the Poincar\'e--Riemann--Hilbert boundary-value problem allows us to construct effective estimates that describe the behaviour of the zeros of the zeta function very well.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1605.06018

Citation

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AMA 11th EditionReferences

Durmagambetov, A. A.. Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems. Australian National University. August 08, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/13113

APA 7th EditionReferences

Durmagambetov, A. A.. (2023). Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems. Australian National University. https://online.provdatabase.com/cite/13113

Chicago 17th EditionReferences

Durmagambetov, A. A.. Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems. Australian National University. 2023. https://online.provdatabase.com/cite/13113

HarvardReferences

Durmagambetov, A. A.. (2023). Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13113. (Accessed 01 October 2025).

Harvard AustraliaReferences

Durmagambetov, A. A., 2023, Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/13113>

MLA 9th EditionWorks Cited

Durmagambetov, A. A.. Poincare--Riemann--Hilbert boundary-value problem for The Millennium Prize Problems. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13113.

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