Standard

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

In: Journal of Mathematical Analysis and Applications, Vol. 480, No. 1, 123386, 01.12.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Tersenov, AS & Tersenov, AS 2019, 'Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term', Journal of Mathematical Analysis and Applications, vol. 480, no. 1, 123386. https://doi.org/10.1016/j.jmaa.2019.123386

APA

Tersenov, A. S., & Tersenov, A. S. (2019). Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term. Journal of Mathematical Analysis and Applications, 480(1), [123386]. https://doi.org/10.1016/j.jmaa.2019.123386

Vancouver

Tersenov AS, Tersenov AS. Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term. Journal of Mathematical Analysis and Applications. 2019 Dec 1;480(1):123386. doi: 10.1016/j.jmaa.2019.123386

Author

Tersenov, Alkis S. ; Tersenov, Aris S. / Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term. In: Journal of Mathematical Analysis and Applications. 2019 ; Vol. 480, No. 1.

BibTeX

@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.}",
note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
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",

}

RIS

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.

N1 - Publisher Copyright: © 2019 Elsevier Inc.

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 -

ID: 21255271