Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

Balachandran, Krishnan; Gurusamy, Arumugam; Shangerganesh, Lingeshwaran

doi:10.1515/cm-2017-0006

Lingeshwaran Shangerganesh ; Arumugam Gurusamy ; Krishnan Balachandran - Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

cm:9464 - Communications in Mathematics, June 28, 2017, Volume 25 (2017), Issue 1 - https://doi.org/10.1515/cm-2017-0006

Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

Authors: Lingeshwaran Shangerganesh ; Arumugam Gurusamy ; Krishnan Balachandran

In this work, we study the existence and uniqueness of weak solu- tions of fourth-order degenerate parabolic equation with variable exponent using the di erence and variation methods.

https://doi.org/10.1515/cm-2017-0006

Source : oai:HAL:hal-03664941v1

Volume: Volume 25 (2017), Issue 1

Published on: June 28, 2017

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

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Source : ScholeXplorer IsReferencedBy DOI 10.1155/2018/9754567 10.1155/2018/9754567 10.1155/2018/9754567 Well-Posedness and Numerical Study for Solutions of a Parabolic Equation with Variable-Exponent Nonlinearities Al-Smail, Jamal H. ; Messaoudi, Salim A. ; Talahmeh, Ala A. ;

9 Documents citing this article

Source : OpenCitations

Al-Smail, Jamal H.; Messaoudi, Salim A.; Talahmeh, Ala A., 2018, Well-Posedness And Numerical Study For Solutions Of A Parabolic Equation With Variable-Exponent Nonlinearities, International Journal Of Differential Equations, 2018, pp. 1-9, 10.1155/2018/9754567, http://downloads.hindawi.com/journals/ijde/2018/9754567.pdf.

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Arumugam, Gurusamy; Erhardt, André H., 2020, Existence Of Weak Solutions To A Certain Homogeneous Parabolic Neumann Problem Involving Variable Exponents And Cross-Diffusion, Journal Of Elliptic And Parabolic Equations, 6, 2, pp. 685-709, 10.1007/s41808-020-00078-6, https://link.springer.com/content/pdf/10.1007/s41808-020-00078-6.pdf.

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Lakshmipriya, N.; Gnanavel, S.; Balachandran, K.; Ma, Yong-Ki, 2022, Existence And Blow-Up Of Weak Solutions Of A Pseudo-Parabolic Equation With Logarithmic Nonlinearity, Boundary Value Problems, 2022, 1, 10.1186/s13661-022-01611-3, https://doi.org/10.1186/s13661-022-01611-3.

Messaoudi, Salim A.; Talahmeh, Ala A., 2019, Blow Up In A Semilinear Pseudo-Parabolic Equation With Variable Exponents, Annali Dell'Universita' Di Ferrara, 65, 2, pp. 311-326, 10.1007/s11565-019-00326-1.

Park, Sun-Hye, 2021, Blow-Up For A Viscoelastic Von Karman Equation With Strong Damping And Variable Exponent Source Terms, Boundary Value Problems, 2021, 1, 10.1186/s13661-021-01537-2, https://boundaryvalueproblems.springeropen.com/counter/pdf/10.1186/s13661-021-01537-2.

Park, Sun-Hye, 2022, General Decay For A Viscoelastic Von Karman Equation With Delay And Variable Exponent Nonlinearities, Boundary Value Problems, 2022, 1, 10.1186/s13661-022-01602-4, https://doi.org/10.1186/s13661-022-01602-4.

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Lingeshwaran Shangerganesh ; Arumugam Gurusamy ; Krishnan Balachandran - Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

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