An Example of Constructing a Bellman Function for Extremal Problems in BMO

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An Example of Constructing a Bellman Function for Extremal Problems in BMO. / Vasyunin, V. I.

In: Journal of Mathematical Sciences (United States), Vol. 209, No. 5, 2015, p. 683-742.

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

Author

Vasyunin, V. I. / An Example of Constructing a Bellman Function for Extremal Problems in BMO. In: Journal of Mathematical Sciences (United States). 2015 ; Vol. 209, No. 5. pp. 683-742.

BibTeX

@article{bc3a5a5cd63d42359132ccef44519e4a,

title = "An Example of Constructing a Bellman Function for Extremal Problems in BMO",

abstract = "An example of solving a boundary-value problem for a homogeneous Monge–Amp{\`e}re equation is given, which produces a Bellman function for an extremal problem on the space BMO. The paper contains a step-by-step instruction for calculation of this function. Cases of rather complicated foliations are considered. This illustrates the technique elaborated in a paper by Ivanishvili, Stolyarov, Vasyunin, and Zatitskiy. Bibliography: 6 titles.",

keywords = "Balance Equation, Tangent Line, Bellman function, Extremal Line, Positive Semiaxis",

author = "Vasyunin, {V. I.}",

note = "Vasyunin, V.I. An Example of Constructing a Bellman Function for Extremal Problems in BMO. J Math Sci 209, 683–742 (2015). https://doi.org/10.1007/s10958-015-2521-3",

year = "2015",

doi = "10.1007/s10958-015-2521-3",

language = "English",

volume = "209",

pages = "683--742",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - An Example of Constructing a Bellman Function for Extremal Problems in BMO

AU - Vasyunin, V. I.

N1 - Vasyunin, V.I. An Example of Constructing a Bellman Function for Extremal Problems in BMO. J Math Sci 209, 683–742 (2015). https://doi.org/10.1007/s10958-015-2521-3

PY - 2015

Y1 - 2015

N2 - An example of solving a boundary-value problem for a homogeneous Monge–Ampère equation is given, which produces a Bellman function for an extremal problem on the space BMO. The paper contains a step-by-step instruction for calculation of this function. Cases of rather complicated foliations are considered. This illustrates the technique elaborated in a paper by Ivanishvili, Stolyarov, Vasyunin, and Zatitskiy. Bibliography: 6 titles.

AB - An example of solving a boundary-value problem for a homogeneous Monge–Ampère equation is given, which produces a Bellman function for an extremal problem on the space BMO. The paper contains a step-by-step instruction for calculation of this function. Cases of rather complicated foliations are considered. This illustrates the technique elaborated in a paper by Ivanishvili, Stolyarov, Vasyunin, and Zatitskiy. Bibliography: 6 titles.

KW - Balance Equation

KW - Tangent Line

KW - Bellman function

KW - Extremal Line

KW - Positive Semiaxis

UR - http://www.scopus.com/inward/record.url?scp=84939472042&partnerID=8YFLogxK

U2 - 10.1007/s10958-015-2521-3

DO - 10.1007/s10958-015-2521-3

M3 - Article

AN - SCOPUS:84939472042

VL - 209

SP - 683

EP - 742

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 49878987