Genuinely nonlinear forward-backward ultra-parabolic equations

Ivan V. Kuznetsov

doi:10.17377/semi.2017.14.061

Genuinely nonlinear forward-backward ultra-parabolic equations

Ivan V. Kuznetsov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

3 Цитирования (Scopus)

Аннотация

In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the L¹ sense.

Язык оригинала	английский
Страницы (с-по)	710-731
Число страниц	22
Журнал	Сибирские электронные математические известия
Том	14
DOI	https://doi.org/10.17377/semi.2017.14.061
Состояние	Опубликовано - 1 янв 2017

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.17377/semi.2017.14.061

Link to publication in Scopus

Цитировать

@article{3ac681148e6f4fad902395d1c6e14e7e,

title = "Genuinely nonlinear forward-backward ultra-parabolic equations",

abstract = "In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the L1 sense.",

keywords = "Entropy solution, Forward-backward ultra-parabolic equation, Kinetic formulation",

author = "Kuznetsov, {Ivan V.}",

year = "2017",

month = jan,

day = "1",

doi = "10.17377/semi.2017.14.061",

language = "English",

volume = "14",

pages = "710--731",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

Genuinely nonlinear forward-backward ultra-parabolic equations. / Kuznetsov, Ivan V.

В: Сибирские электронные математические известия, Том 14, 01.01.2017, стр. 710-731.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Genuinely nonlinear forward-backward ultra-parabolic equations

AU - Kuznetsov, Ivan V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the L1 sense.

AB - In this paper we have proved the existence and uniqueness of entropy solutions to the Dirichlet problem for genuinely nonlinear forward-backward ultra-parabolic equations. We have used a kinetic formulation of entropy solutions which enables also to prove the existence of their traces in the L1 sense.

KW - Entropy solution

KW - Forward-backward ultra-parabolic equation

KW - Kinetic formulation

UR - http://www.scopus.com/inward/record.url?scp=85033213255&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.061

DO - 10.17377/semi.2017.14.061

M3 - Article

AN - SCOPUS:85033213255

VL - 14

SP - 710

EP - 731

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

Genuinely nonlinear forward-backward ultra-parabolic equations

Аннотация

Предметные области OECD FOS+WOS

Доступ к документу

Fingerprint

Цитировать