The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type

P. R. Akbar; Corina Karim; E. w.r. Bagus

doi:10.1088/1742-6596/1562/1/012009

The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type

P. R. Akbar
, Corina Karim^*
, E. w.r. Bagus

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

We study the existence of global weak solutions for Cauchy-Dirichlet problem for p-Laplacian systems in the singular case. Here, we treat the existence of global weak solutions using Galerkin method where the initial data belonging to the Sobolev space W 1, p (Ω, m ). The main result is to show the validity of theorem of global weak solutions for Cauchy-Dirichlet problem for singular case only.

Original language	English
Article number	012009
Journal	Journal of Physics: Conference Series
Volume	1562
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1562/1/012009
Publication status	Published - 24 Jun 2020
Event	15th International Symposium on Geometric Function Theory and Applications, GFTA 2019 - Malang, Indonesia Duration: 4 Nov 2019 → 5 Nov 2019

Access to Document

10.1088/1742-6596/1562/1/012009

Cite this

@article{19413d32b5c34bbea7e6ec407e5e8173,

title = "The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type",

abstract = "We study the existence of global weak solutions for Cauchy-Dirichlet problem for p-Laplacian systems in the singular case. Here, we treat the existence of global weak solutions using Galerkin method where the initial data belonging to the Sobolev space W 1, p (Ω, m ). The main result is to show the validity of theorem of global weak solutions for Cauchy-Dirichlet problem for singular case only.",

author = "Akbar, \{P. R.\} and Corina Karim and Bagus, \{E. w.r.\}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd.; 15th International Symposium on Geometric Function Theory and Applications, GFTA 2019 ; Conference date: 04-11-2019 Through 05-11-2019",

year = "2020",

month = jun,

day = "24",

doi = "10.1088/1742-6596/1562/1/012009",

language = "English",

volume = "1562",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type

AU - Akbar, P. R.

AU - Karim, Corina

AU - Bagus, E. w.r.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2020/6/24

Y1 - 2020/6/24

N2 - We study the existence of global weak solutions for Cauchy-Dirichlet problem for p-Laplacian systems in the singular case. Here, we treat the existence of global weak solutions using Galerkin method where the initial data belonging to the Sobolev space W 1, p (Ω, m ). The main result is to show the validity of theorem of global weak solutions for Cauchy-Dirichlet problem for singular case only.

AB - We study the existence of global weak solutions for Cauchy-Dirichlet problem for p-Laplacian systems in the singular case. Here, we treat the existence of global weak solutions using Galerkin method where the initial data belonging to the Sobolev space W 1, p (Ω, m ). The main result is to show the validity of theorem of global weak solutions for Cauchy-Dirichlet problem for singular case only.

UR - https://www.scopus.com/pages/publications/85088086637

U2 - 10.1088/1742-6596/1562/1/012009

DO - 10.1088/1742-6596/1562/1/012009

M3 - Conference article

AN - SCOPUS:85088086637

SN - 1742-6588

VL - 1562

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012009

T2 - 15th International Symposium on Geometric Function Theory and Applications, GFTA 2019

Y2 - 4 November 2019 through 5 November 2019

ER -

The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type

Abstract

Access to Document

Other files and links

Fingerprint

Cite this