Global existence for reaction-diffusion evolution equations driven by the \(p \)-Laplacian on manifolds
DOI10.3934/mine.2023070arXiv2210.16221OpenAlexW4312784924MaRDI QIDQ6195615
Gabriele Grillo, Fabio Punzo, Giulia Meglioli
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.16221
Riemannian manifoldsPoincaré inequalityglobal existenceporous medium equationSobolev inequalitynonlinear reaction-diffusion equationsmoothing estimates\( p\)-Laplace equation
Initial-boundary value problems for second-order parabolic equations (35K20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs on manifolds (35R01)
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