Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases

[1]  H. Fattorini,et al.  Ordinary differential equations in linear topological space. II. , 1969 .

[2]  A. Dezin,et al.  Partial Differential Equations: An Introduction to a General Theory of Linear Boundary Value Problems , 1987 .

[3]  M. Sova,et al.  Cosine operator functions , 1966 .

[4]  N. Ibragimov,et al.  ON THE CAUCHY PROBLEM FOR THE EQUATION , 1977 .

[5]  Wolfgang Arendt,et al.  Resolvent Positive Operators , 1987 .

[6]  R. Delaubenfels C-Semigroups and the Cauchy Problem , 1993 .

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

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

[9]  N. Okazawa,et al.  Local C‐Semigroups and Local Integrated Semigroups , 1990 .

[10]  S. Ôharu Semigroups of Linear Operators in a Banach Space , 1971 .

[11]  F. Neubrander Integrated semigroups and their application to complete second order cauchy problems , 1989 .

[12]  I. Miyadera,et al.  Some remarks on $C$-semigroups and integrated semigroups , 1987 .

[13]  P. Clément One-parameter semigroups , 1987 .

[14]  I. Miyadera,et al.  C-semigroups and the abstract Cauchy problem , 1992 .

[15]  L. Hörmander,et al.  Estimates for translation invariant operators inLp spaces , 1960 .

[16]  W. Arendt,et al.  Interpolation of semigroups and integrated semigroups , 1992 .

[17]  M. Pang Resolvent estimates for schrödinger operators inLP(RN) and the theory of exponentially boundedC-semigroups , 1990 .

[18]  N. Okazawa A GENERATION THEOREM FOR SEMIGROUPS OF GROWTH ORDER α , 1974 .

[19]  R. Delaubenfels Integrated semigroups, C-semigroups and the abstract Cauchy problem , 1990 .

[20]  E. Davies,et al.  The Cauchy Problem and a Generalization of the Hille-Yosida Theorem , 1987 .

[21]  S. Krein,et al.  Differential equations in a Banach space , 1985 .

[22]  N. Tanaka Holomorphicc-semigroups and holomorphic semigroups , 1989 .

[23]  T. Takeshita,et al.  Vinyl acetate-induced sister chromatid exchanges in murine bone marrow cells. , 1986 .

[24]  J. Goldstein Semigroups of Linear Operators and Applications , 1985 .

[25]  C. Travis,et al.  Cosine families and abstract nonlinear second order differential equations , 1978 .

[26]  Yu. I. Lyubich,et al.  THE CLASSICAL AND LOCAL LAPLACE TRANSFORMATION IN AN ABSTRACT CAUCHY PROBLEM , 1966 .

[27]  W. Arendt Vector-valued laplace transforms and cauchy problems , 2002 .

[28]  Entire solutions of the abstract cauchy problem , 1991 .

[29]  Frank Neubrander,et al.  INTEGRATED SEMIGROUPS AND THEIR APPLICATIONS TO THE ABSTRACT CAUCHY PROBLEM , 1988 .

[30]  On perturbation theory for exponentially bounded c-semigroups , 1990 .

[31]  I. Miyadera,et al.  Exponentially bounded C-semigroups and generation of semigroups , 1989 .