Quasilinear evolution equations in \(L_\mu^P\)-spaces with lower regular initial data

DOI10.1155/2018/2569080OpenAlexW2801900818MaRDI QIDQ1749073

Qing-Hua Zhang

Publication date: 15 May 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2569080

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Cites Work

• On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
• Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
• On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
• Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
• Parabolic problems with nonlinear boundary conditions and critical nonlinearities
• On the closedness of the sum of two closed operators
• Maximal regularity for evolution equations in weighted \(L_p\)-spaces
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• On the Navier-Stokes initial value problem. I
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
• \(L^p\)-theory of the Stokes equation in a half space
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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