J. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “On the data space transformation for initial Cauchy problem with blow-up solutions”, Keldysh Institute preprints, 2012, 087, 31 pp.

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Preprints of the Keldysh Institute of Applied Mathematics, 2012, 087, 31 pp. (Mi ipmp105)

This article is cited in 4 scientific papers (total in 4 papers)

On the data space transformation for initial Cauchy problem with blow-up solutions

J. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev

Full-text PDF (407 kB) Citations (4)

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Abstract: The peculiarities of Cauchy problem solutions for evolution differential equations are investigated. The procedures of trajectories prolongations through singularities are constructed. The operation of continuation for initial data space transformation has been defined by the averaging of the approximation solution sequence.

Document Type: Preprint

Language: Russian

Citation: J. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “On the data space transformation for initial Cauchy problem with blow-up solutions”, Keldysh Institute preprints, 2012, 087, 31 pp.

Citation in format AMSBIB

\Bibitem{OguOrlSak12}

\by J.~O.~Ogun, Yu.~N.~Orlov, V.~Zh.~Sakbaev

\paper On the data space transformation for initial Cauchy problem with blow-up solutions

\jour Keldysh Institute preprints

\yr 2012

\papernumber 087

\totalpages 31

\mathnet{http://mi.mathnet.ru/ipmp105}

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https://www.mathnet.ru/eng/ipmp105

https://www.mathnet.ru/eng/ipmp/y2012/p87

This publication is cited in the following 4 articles:

Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. Math., 80:6 (2016), 1131–1158
M. Kh. Numan Elsheikh, D. O. Ogun, Yu. N. Orlov, R. V. Pleshakov, V. Zh. Sakbaev, “Usrednenie sluchainykh polugrupp i neodnoznachnost kvantovaniya gamiltonovykh sistem”, Preprinty IPM im. M. V. Keldysha, 2014, 019, 28 pp.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Proc. Steklov Inst. Math., 285 (2014), 222–232
V. Zh. Sakbaev, “Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation”, Proc. Steklov Inst. Math., 283 (2013), 165–180

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Препринты Института прикладной математики им. М. В. Келдыша РАН

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