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

[1]  H. Kato,et al.  Regularity of weak solutions of the Navier-Stokes equations , 1986 .

[2]  Yoshikazu Giga,et al.  Solutions in Lr of the Navier-Stokes initial value problem , 1985 .

[3]  Y. Giga,et al.  Asymptotically self‐similar blow‐up of semilinear heat equations , 1985 .

[4]  W. Ni,et al.  Singular behavior in nonlinear parabolic equations , 1985 .

[5]  Takashi Kato,et al.  StrongLp-solutions of the Navier-Stokes equation inRm, with applications to weak solutions , 1984 .

[6]  W. Wahl,et al.  On the singular set and the uniqueness of weak solutions of the Navier-Stokes equations , 1984 .

[7]  Yoshikazu Giga,et al.  Weak and Strong Solutions of the Navier-Stokes Initial Value Problem , 1983 .

[8]  H. Sohr,et al.  Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes , 1983 .

[9]  R. Kohn,et al.  Partial regularity of suitable weak solutions of the navier‐stokes equations , 1982 .

[10]  F. Weissler.  Existence and non-existence of global solutions for a semilinear heat equation , 1981 .

[11]  Fred B. Weissler,et al.  The Navier-Stokes initial value problem in Lp , 1980 .

[12]  F. Weissler.  Semilinear evolution equations in Banach spaces , 1979 .

[13]  V. A. Solonnikov,et al.  Estimates for solutions of nonstationary Navier-Stokes equations , 1977 .

[14]  E. Fabes,et al.  Boundary Value Problems for the Navier-Stokes Equations , 1977 .

[15]  R. Temam.  Navier-Stokes Equations , 1977 .

[16]  E. Stein.  Singular Integrals and Di?erentiability Properties of Functions , 1971 .

[17]  Jean Leray,et al.  Sur le mouvement d'un liquide visqueux emplissant l'espace , 1934 .

[18]  K. Masuda.  Weak solutions of Navier-Stokes equations , 1984 .

[19]  P. Baras.  Non-unicité des solutions d'une équation d'évolution non linéaire , 1983 .

[20]  Vladimir Scheffer.  Turbulence and Hausdorff dimension , 1976 .

[21]  B. Jones,et al.  The initial value problem for the Navier-Stokes equations with data in Lp , 1972 .

[22]  O. Ladyženskaja.  Linear and Quasilinear Equations of Parabolic Type , 1968 .

[23]  S. Kaniel,et al.  Smoothness of weak solutions of the Navier-Stokes equations , 1967 .

[24]  H. Fujita.  On the blowing up of solutions fo the Cauchy problem for u_t=Δu+u^ , 1966 .

[25]  J. Serrin.  The initial value problem for the Navier-Stokes equations , 1963 .

[26]  Hiroshi Fujita,et al.  On the nonstationary Navier-Stokes system , 1962 .

[27]  E. Hopf,et al.  Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet , 1950 .