Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations
DOI10.3934/dcds.2022108arXiv2202.02297OpenAlexW4301915182MaRDI QIDQ6160089
Espen R. Jakobsen, Félix del Teso, Jørgen Endal
Publication date: 23 June 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02297
convergenceexistenceporous mediumcompactnessStefan problemnumerical schemesconvection-diffusionentropy solutionsLaplacianfractional Laplacianvery weak solutionsnonlocal operatorsfast diffusionArzelà-AscoliKolmogorov-Riesz
Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Numerical analysis (65-XX)
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