Existence of Pseudo Almost Automorphic Solutions for the Heat Equation with -Pseudo Almost Automorphic Coefficients

We obtain the existence of pseudo almost automorphic solutions to the -dimensional heat equation with -pseudo almost automorphic coefficients.

[1]  T. Diagana.  EXISTENCE OF PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME CLASSES OF PARTIAL HYPERBOLIC EVOLUTION EQUATIONS , 2006, math/0609157.

[2]  G. N’Guérékata,et al.  Bounded and almost automorphic solutions of some nonlinear differential equations in Banach spaces , 2009 .

[3]  T. Diagana.  Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients , 2009 .

[4]  S. Boulite,et al.  Almost Automorphic Solutions for Hyperbolic Semilinear Evolution Equations , 2005 .

[5]  Khalil Ezzinbi,et al.  Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces , 2009 .

[6]  Chuanyi Zhang.  Pseudo Almost Periodic Solutions of Some Differential Equations, II , 1994 .

[7]  T. Diagana,et al.  Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces , 2006 .

[8]  Jin Liang,et al.  Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces , 2008 .

[9]  Chuanyi Zhang,et al.  Integration of vector-valued pseudo-almost periodic functions , 1994 .

[10]  Jin Liang,et al.  Some properties of pseudo-almost automorphic functions and applications to abstract differential equations , 2009 .

[11]  Alexander Pankov,et al.  Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations , 1990 .

[12]  Alexander Pankov,et al.  Stepanov-like almost automorphic functions and monotone evolution equations , 2008 .

[13]  S Bochner,et al.  CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS. , 1964, Proceedings of the National Academy of Sciences of the United States of America.

[14]  Toka Diagana,et al.  Almost automorphic solutions to some classes of partial evolution equations , 2007, Appl. Math. Lett..

[15]  Hernán R. Henríquez,et al.  Almost automorphic mild solutions to some partial neutral functional-differential equations and applications , 2008 .

[16]  T. Diagana.  Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations , 2007 .

[17]  M. Birkner,et al.  Blow-up of semilinear PDE's at the critical dimension. A probabilistic approach , 2002 .

[18]  R. Nagel,et al.  One-parameter semigroups for linear evolution equations , 1999 .

[19]  M. Benchohra,et al.  Functional Differential Inclusions with Integral Boundary Conditions , 2007 .

[20]  Jin Liang,et al.  Composition of pseudo almost automorphic and asymptotically almost automorphic functions , 2008 .

[21]  Enrique Lami Dozo,et al.  Multiple solutions to a singular Lane-Emden-Fowler equation with convection term , 2008 .

[22]  T. Diagana.  STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS , 2007 .

[23]  A. Lunardi.  Analytic Semigroups and Optimal Regularity in Parabolic Problems , 2003 .

[24]  Toka Diagana,et al.  Pseudo almost periodic solutions to some differential equations , 2005 .

[25]  T. Diagana.  Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations , 2008 .

[26]  Toka Diagana,et al.  EXISTENCE OF ALMOST AUTOMORPHIC SOLUTIONS TO SOME NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY , 2008 .