On weak, strong and classical solutions of the Hopf equation. An example of F.D.E. of second order

DOI10.3792/pjaa.62.54zbMath0708.35038OpenAlexW2029358769MaRDI QIDQ920289

Atsushi Inoue

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.54

zbMATH Keywords

Sobolev spacecompact Riemannian manifoldFunctional Derivative Equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

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• On the Euler equations of incompressible perfect fluids
• Statistical study of Navier-Stokes equations. I
• Statistical study of Navier-Stokes equations. II
• Nonstationary flows of viscous and ideal fluids in \(R^3\)