Well-posedness theory for degenerate parabolic equations on Riemannian manifolds

DOI10.1016/j.jde.2017.06.001zbMath1382.58020arXiv1612.08195OpenAlexW2964247140WikidataQ59310055 ScholiaQ59310055MaRDI QIDQ2013915

Yanyan Li

Publication date: 10 August 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08195

zbMATH Keywords

Cauchy problemRiemannian manifoldwell-posednessdegenerate parabolic equationkinetic formulationgeometry compatible coefficients

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Harmonic analysis and PDEs (42B37) Flows in porous media; filtration; seepage (76S99)

Related Items (5)

Weak asymptotic solutions and their Radon measure limits for the compressible Euler equations ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Velocity averaging for diffusive transport equations with discontinuous flux ⋮ A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem ⋮ Radon measures as solutions of the Cauchy problem for evolution equations

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