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

Alkis S. Tersenov, Aris S. Tersenov

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

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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

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10.1016/j.jmaa.2019.123386

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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 › рецензирование

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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.

AB - 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 - Anisotropic equations

KW - Boundary value problems

KW - Viscosity solutions

KW - VISCOSITY SOLUTIONS

KW - P(X

KW - CONTINUITY

KW - REGULARITY

KW - WEAK SOLUTIONS

KW - UNIQUENESS

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