Well-posedness of a fractional porous medium equation on an evolving surface
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Publication:272696
DOI10.1016/j.na.2016.01.010zbMath1334.35365arXiv1509.01447OpenAlexW2963939303MaRDI QIDQ272696
Charles M. Elliott, Amal Alphonse
Publication date: 20 April 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.01447
Degenerate parabolic equations (35K65) Moving boundary problems for PDEs (35R37) Fractional partial differential equations (35R11) PDEs on manifolds (35R01)
Related Items (9)
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation ⋮ Sobolev space of functions valued in a monotone Banach family ⋮ The fractional porous medium equation on manifolds with conical singularities II ⋮ Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs ⋮ Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation ⋮ An evolving space framework for Oseen equations on a moving domain ⋮ The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion ⋮ A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains ⋮ Moving boundary problems
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