\(L_{p,q}\)-estimates for certain semiliner parabolic equations

DOI10.2748/tmj/1178227730zbMath0678.35050OpenAlexW2069118310MaRDI QIDQ1124049

Takeyuki Nagasawa

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227730

zbMATH Keywords

semilinear parabolic equationNavier-Stokes system\(L_{p,q}\)-estimatesemiliner heat equationsYang-Mills' gradient

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

• Weak asymptotical stability of Yang-Mills' gradient flow
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
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