Rothe time-discretization method for a nonlinear parabolic \(p(u)\)-Laplacian problem with Fourier-type boundary condition and \(L^1\)-data

DOI10.1007/s11587-020-00544-2OpenAlexW3093610624MaRDI QIDQ6060395

Abdelali Sabri, Ahmed Jamea

Publication date: 29 November 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-020-00544-2

zbMATH Keywords

entropy solutionRothe's methodsemi-discretizationvariable exponent Sobolev space\(p(u)\)-Laplacian

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical analysis (65-XX)

Related Items (3)

WEAK SOLUTION FOR NONLINEAR FRACTIONAL P(.)-LAPLACIAN PROBLEM WITH VARIABLE ORDER VIA ROTHE'S TIME-DISCRETIZATION METHOD ⋮ Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach ⋮ The existence and uniqueness result of entropy solutions for a p(·)-Laplace operator problem in weighted Sobolev spaces

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