Existence of a weak solution to the \(p\)-Sobolev flow

DOI10.1016/J.NA.2018.05.016zbMath1483.35070OpenAlexW2809685618MaRDI QIDQ1654011

Masashi Misawa, Kenta Nakamura

Publication date: 7 August 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.05.016

zbMATH Keywords

Galerkin methodYamabe flow\(p\)-Sobolev flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Weak solutions to PDEs (35D30)

Related Items (8)

Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type ⋮ The discrete Morse flow method for parabolic \(p\)-Laplacian systems ⋮ A weak solution for the fractional \(N\)-Laplacian flow ⋮ Intrinsic scaling method for doubly nonlinear parabolic equations and its application ⋮ A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation ⋮ Global existence for the \(p\)-Sobolev flow ⋮ Regularity estimates for the \(p\)-Sobolev flow ⋮ Existence of a sign-changing weak solution to doubly nonlinear parabolic equations

Cites Work

• Unnamed Item
• Quasilinear elliptic-parabolic differential equations
• Heat flow of \(p\)-harmonic maps with values into spheres
• Global existence and convergence of Yamabe flow
• Finite Element Approximation of the Parabolic p-Laplacian
• Convergence of the Yamabe flow for large energies

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