\(L^{p}\) estimates of solutions of some partial differential equations.

DOI10.1016/j.na.2003.09.005zbMath1036.35046OpenAlexW2068647414MaRDI QIDQ1421958

Linghai Zhang

Publication date: 3 February 2004

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.2003.09.005

zbMATH Keywords

decay estimatesnonlinear evolution equationsstability global weak solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\)

Cites Work

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• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Dissipation and decay estimates
• Nonlinear Galerkin methods for solving two dimensional Newton-Boussinesq equations
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations

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