Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

[1]  A. A. Il’in THE NAVIER-STOKES AND EULER EQUATIONS ON TWO-DIMENSIONAL CLOSED MANIFOLDS , 1991 .

[2]  G. Bourdaud Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels , 1988 .

[3]  E. Stein,et al.  Hp spaces of several variables , 1972 .

[4]  J. Marsden,et al.  Groups of diffeomorphisms and the motion of an incompressible fluid , 1970 .

[5]  M. Nagase The Lp-boundedness of pseudo-differential operators with non-regular symbols , 1977 .

[6]  J. Peetre On convolution operators leavingLp,λ spaces invariant , 1966 .

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

[8]  A. Majda Compressible fluid flow and systems of conservation laws in several space variables , 1984 .

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

[10]  A. Majda,et al.  Concentrations in regularizations for 2-D incompressible flow , 1987 .

[11]  Yoshikazu Giga,et al.  Two-dimensional Navier-Stokes flow with measures as initial vorticity , 1988 .

[12]  Michael Taylor,et al.  Pseudodifferential Operators and Nonlinear PDE , 1991 .

[13]  G.-H. Cottet Equations de Navier-Stokes dans le plan avec tourbillon initial mesure , 1986 .

[14]  J. Peetre On the theory of Lp,λ spaces , 1969 .

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

[16]  Y. Giga,et al.  Navier‐Stokes flow in R3 with measures as initial vorticity and Morrey spaces , 1988 .

[17]  Tosio Kato,et al.  Remarks on the breakdown of smooth solutions for the 3-D Euler equations , 1984 .

[18]  J. Bony,et al.  Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires , 1980 .

[19]  Hiroshi Fujita,et al.  On the Navier-Stokes initial value problem. I , 1964 .

[20]  M. Pulvirenti,et al.  Planar Navier-Stokes flow for singular initial data , 1985 .

[21]  A concise presentation of the Euler equations of hydrodynamics , 1984 .