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

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1.01 МАТЕМАТИКА

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10.17377/semi.2017.14.061

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

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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

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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.

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KW - Kinetic formulation

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SN - 1813-3304

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Genuinely nonlinear forward-backward ultra-parabolic equations

Аннотация

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