Cauchy problem of semi-linear parabolic equations with weak data in homogeneous space and application to the Navier-Stokes equations

zbMath1145.35398MaRDI QIDQ813790

Chang Xing Miao

Publication date: 13 February 2006

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

abstract Cauchy problemcompatible spacelocal mild solutionstime-space estimatesweak data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial value problems for second-order parabolic equations (35K15) Nonlinear evolution equations (47J35)

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