Dynamic theory of quasilinear parabolic equations—I. Abstracts evolution equations

On etablit les fondements abstraits pour une theorie dynamique generale pour des problemes aux valeurs limites et initiales quasilineaires

[1]  Parabolic evolution equations in interpolation and extrapolation spaces , 1988 .

[2]  On abstract parabolic fundamental solutions , 1987 .

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

[4]  Y. Brudnyi,et al.  Interpolation of linear operators , 2002 .

[5]  S. Krein,et al.  Linear Differential Equations in Banach Space , 1972 .

[6]  Alessandra Lunardi,et al.  Abstract quasilinear parabolic equations , 1984 .

[7]  Daniel B. Henry.  Geometric Theory of Semilinear Parabolic Equations , 1989 .

[8]  O. Hájek,et al.  Local Semi-Dynamical Systems , 1969 .

[9]  Avner Friedman,et al.  Partial differential equations , 1969 .

[10]  Giuseppe Da Prato,et al.  Equations d'évolution abstraites non linéaires de type parabolique , 1979 .

[11]  H. Tanabe.  On the equations of evolution in a Banach space , 1960 .

[12]  H. Triebel.  Interpolation Theory, Function Spaces, Differential Operators , 1978 .

[13]  H. Amann.  Quasilinear parabolic systems under nonlinear boundary conditions , 1986 .

[14]  M. Altman.  Nonlinear equations of evolution in Banach spaces , 1984 .

[15]  J. Lions.  Quelques méthodes de résolution de problèmes aux limites non linéaires , 1969 .

[16]  Herbert Amann,et al.  Semigroups and nonlinear evolution equations , 1986 .

[17]  Herbert Amann,et al.  Quasilinear evolution equations and parabolic systems , 1986 .

[18]  M. Murphy.  Quasi-Linear Evolution Equations in Banach Spaces. , 1980 .

[19]  Quasilinear evolution equations in Banach spaces , 1980 .

[20]  E. Hille.  Functional Analysis And Semi-Groups , 1948 .

[21]  Analyticity of solutions of nonlinear evolution equations , 1976 .

[22]  V. Barbu.  Nonlinear Semigroups and di erential equations in Banach spaces , 1976 .

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