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 › рецензирование

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

Fingerprint Подробные сведения о темах исследования «Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{ba062a7e733744f9a5994bb4f194592b,

title = "Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term",

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.}",

year = "2019",

month = dec,

day = "1",

doi = "10.1016/j.jmaa.2019.123386",

language = "English",

volume = "480",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

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

TY - JOUR

T1 - Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

AU - Tersenov, Alkis S.

AU - Tersenov, Aris S.

PY - 2019/12/1

Y1 - 2019/12/1

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.

KW - A priori estimates

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

UR - http://www.scopus.com/inward/record.url?scp=85070352237&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2019.123386

DO - 10.1016/j.jmaa.2019.123386

M3 - Article

AN - SCOPUS:85070352237

VL - 480

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

M1 - 123386

ER -