Lp regularity for abstract differential equations

[1]  G. Stampacchia The spaces $\mathcal{L}^{(p, \ \lambda)}, N^{(p, \ \lambda)}$ and interpolation , 1965 .

[2]  T. McConnell,et al.  On Fourier multiplier transformations of Banach-valued functions , 1984 .

[3]  W. Wahl The Equation u′ + A(t)u = f in a Hilbert Space and LP-Estimates For Parabolic Equations , 1982 .

[4]  Claude Bardos,et al.  A regularity theorem for parabolic equations , 1971 .

[5]  D. Lamberton,et al.  Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces LP , 1987 .

[6]  J. R. D. Francia Martingale and integral transforms of banach space valued functions , 1986 .

[7]  Yoshikazu Giga,et al.  Domains of fractional powers of the Stokes operator in Lr spaces , 1985 .

[8]  Y. Giga,et al.  $L^P$ estimate for abstract linear parabolic equations , 1991 .

[9]  J. Bastero,et al.  Probability and Banach Spaces , 1986 .

[10]  R. Seeley NORMS AND DOMAINS OF THE COMPLEX POWERS ABZ. , 1971 .

[11]  J. Schwartz A remark on inequalities of Calderon-Zygmund type for vector-valued functions , 1961 .

[12]  A. Calderón,et al.  CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS. , 1962, Proceedings of the National Academy of Sciences of the United States of America.

[13]  J. Ball Strongly continuous semigroups, weak solutions, and the variation of constants formula , 1977 .

[14]  Giovanni Dore,et al.  On the closedness of the sum of two closed operators , 1987 .

[15]  J. Prüss,et al.  On operators with bounded imaginary powers in banach spaces , 1990 .

[16]  Yoshikazu Giga,et al.  Abstract LP estimates for the Cauchy problem with applications to the Navier‐Stokes equations in exterior domains , 1991 .

[17]  P. Grisvard Équations différentielles abstraites , 1969 .

[18]  Adalbert Kerber,et al.  The Cauchy Problem , 1984 .

[19]  Hiroki Tanabe,et al.  Equations of evolution , 1979 .

[20]  K. Yosida On the differentiability of semi-groups of linear operators , 1958 .

[21]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[22]  Y. Giga,et al.  On the Stokes operator in exterior domains , 1988 .

[23]  Luciano de Simon Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine , 1964 .

[24]  J. Torrea,et al.  Calderón-Zygmund theory for operator-valued kernels , 1986 .

[25]  Jan Prüss,et al.  Imaginary powers of elliptic second order differential operators in $L\sp p$-spaces , 1993 .

[26]  D. Burkholder Martingales and Fourier analysis in Banach spaces , 1986 .

[27]  F. Zimmermann On vector-valued Fourier multiplier theorems , 1989 .