Nonstationary Stokes equations in a half-space with continuous initial data

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga · Journal of Differential Equations · 1986 · 872 citations

Elliptic Equation, Engineering, Semilinear Parabolic Equations +8

Estimates for solutions of nonstationary Navier-Stokes equations

V. A. Solonnikov · Journal of Mathematical Sciences · 1977 · 368 citations

Numerical Analysis, Engineering, Incompressible Flow +4

Solution of the first boundary value problem for the equation of continuity of an incompressible medium

M. E. Bogovskiï · Proceedings of the USSR Academy of Sciences · 1979 · 340 citations

Numerical Analysis, Engineering, Incompressible Medium +6

A solution formula for the Stokes equation in Rⁿ₊

Seiji Ukai · Communications on Pure and Applied Mathematics · 1987 · 175 citations

Numerical Analysis, Method Of Fundamental Solution, Stokes Equation

L q -L r estimates for solutions of the nonstationary stokes equations in an exterior domain and the Navier-Stokes initial value problems inL q spaces

Hirokazu Iwashita · Mathematische Annalen · 1989 · 175 citations

Q Spaces, Monge-ampere Equation, Elliptic Equation +5