Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

Alkis S. Tersenov; Aris S. Tersenov

doi:10.1016/j.jmaa.2019.123386

Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

The Cauchy-Dirichlet problem for anisotropic parabolic equation with time-dependent exponents and gradient term is considered. We state conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and Hölder continuous in time.

Язык оригинала	английский
Номер статьи	123386
Число страниц	18
Журнал	Journal of Mathematical Analysis and Applications
Том	480
Номер выпуска	1
DOI	https://doi.org/10.1016/j.jmaa.2019.123386
Состояние	Опубликовано - 1 дек 2019

Доступ к документу

10.1016/j.jmaa.2019.123386

Link to publication in Scopus

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abstract = "The Cauchy-Dirichlet problem for anisotropic parabolic equation with time-dependent exponents and gradient term is considered. We state conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and H{\"o}lder continuous in time.",

keywords = "A priori estimates, Anisotropic equations, Boundary value problems, Viscosity solutions, VISCOSITY SOLUTIONS, P(X, CONTINUITY, REGULARITY, WEAK SOLUTIONS, UNIQUENESS",

author = "Tersenov, {Alkis S.} and Tersenov, {Aris S.}",

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Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term. / Tersenov, Alkis S.; Tersenov, Aris S.

В: Journal of Mathematical Analysis and Applications, Том 480, № 1, 123386, 01.12.2019.

Результат исследования: Научные публикации в периодических изданиях › статья

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N2 - The Cauchy-Dirichlet problem for anisotropic parabolic equation with time-dependent exponents and gradient term is considered. We state conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and Hölder continuous in time.

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KW - CONTINUITY

KW - REGULARITY

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