Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents

Lingeshwaran Shangerganesh; Arumugam Gurusamy; Krishnan Balachandran

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: 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. ;

10 Documents citing this article

Source : OpenCitations

Al-Smail, Jamal H.; Messaoudi, Salim; 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.

Arumugam, Gurusamy; Tyagi, Jagmohan, 2020, Nonnegative Solutions To ReactionâDiffusion System With CrossâDiffusion And Nonstandard Growth Conditions, Mathematical Methods In The Applied Sciences, 43, 10, pp. 6576-6597, 10.1002/mma.6401.

Arumugam, Gurusamy; Erhardt, AndrĂŠ, 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.

Boudjeriou, Tahir, 2020, On The Diffusion p(x)-Laplacian With Logarithmic Nonlinearity, Journal Of Elliptic And Parabolic Equations, 6, 2, pp. 773-794, 10.1007/s41808-020-00083-9.

Ha, Tae Gab; Park, Sun-Hye, 0000-0002-9411-728, 2021, Existence And Decay Results For A Von Karman Equation With Variable Exponent Nonlinearities, Mathematical Methods In The Applied Sciences, 44, 11, pp. 9475-9486, 10.1002/mma.7372.

Lakshmipriya, N.; Gnanavel, S.; Balachandran, K.; Ma, Yong-Ki, 0000-0002-4590-763, 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.

Messaoudi, Salim; 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, 0000-0002-9411-728, 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.

Park, Sun-Hye, 0000-0002-9411-728, 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.

Vildanova, V. F., 2022, Existence Of The Cauchy Problem For Aggregation Equation With Variable Exponents In The Hyperbolic Space, Lobachevskii Journal Of Mathematics, 43, 6, pp. 1572-1584, 10.1134/s1995080222090293.

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