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Initial boundary value problems in a bounded domain : Probabilistic representations of solutions and limit theorems. I. / Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.

In: Theory of Probability and its Applications, Vol. 61, No. 4, 01.01.2017, p. 632-648.

Research output: Contribution to journal › Article › peer-review

Harvard

Ibragimov, IA, Smorodina, NV & Faddeev, MM 2017, 'Initial boundary value problems in a bounded domain: Probabilistic representations of solutions and limit theorems. I', Theory of Probability and its Applications, vol. 61, no. 4, pp. 632-648. https://doi.org/10.1137/S0040585X97T988393

APA

Ibragimov, I. A., Smorodina, N. V., & Faddeev, M. M. (2017). Initial boundary value problems in a bounded domain: Probabilistic representations of solutions and limit theorems. I. Theory of Probability and its Applications, 61(4), 632-648. https://doi.org/10.1137/S0040585X97T988393

Vancouver

Ibragimov IA, Smorodina NV, Faddeev MM. Initial boundary value problems in a bounded domain: Probabilistic representations of solutions and limit theorems. I. Theory of Probability and its Applications. 2017 Jan 1;61(4):632-648. https://doi.org/10.1137/S0040585X97T988393

Author

Ibragimov, I. A. ; Smorodina, N. V. ; Faddeev, M. M. / Initial boundary value problems in a bounded domain : Probabilistic representations of solutions and limit theorems. I. In: Theory of Probability and its Applications. 2017 ; Vol. 61, No. 4. pp. 632-648.

BibTeX

@article{4b350b57dc1d4cf9b9e5c471a0017e8e,
title = "Initial boundary value problems in a bounded domain: Probabilistic representations of solutions and limit theorems. I",
abstract = "In this paper, we construct a new method of probabilistic representation of a solution of initial boundary value problems for series of evolution equations in a circle based on constructing a special continuation of an initial function from the circle to the whole plane.",
keywords = "Evolution equations, Feynman integral, Feynman measure, Initial boundary value problems, Limit theorems",
author = "Ibragimov, {I. A.} and Smorodina, {N. V.} and Faddeev, {M. M.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1137/S0040585X97T988393",
language = "English",
volume = "61",
pages = "632--648",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "4",

}

RIS

TY - JOUR

T1 - Initial boundary value problems in a bounded domain

T2 - Probabilistic representations of solutions and limit theorems. I

AU - Ibragimov, I. A.

AU - Smorodina, N. V.

AU - Faddeev, M. M.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this paper, we construct a new method of probabilistic representation of a solution of initial boundary value problems for series of evolution equations in a circle based on constructing a special continuation of an initial function from the circle to the whole plane.

AB - In this paper, we construct a new method of probabilistic representation of a solution of initial boundary value problems for series of evolution equations in a circle based on constructing a special continuation of an initial function from the circle to the whole plane.

KW - Evolution equations

KW - Feynman integral

KW - Feynman measure

KW - Initial boundary value problems

KW - Limit theorems

UR - http://www.scopus.com/inward/record.url?scp=85039159097&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97T988393

DO - 10.1137/S0040585X97T988393

M3 - Article

AN - SCOPUS:85039159097

VL - 61

SP - 632

EP - 648

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 4

ER -

ID: 35401493