| Author(s) |
Joël Blot ( )1, Philippe Cieutat2, Khalil Ezzinbi3 |
| Laboratory |
|
| Subject |
Mathematics/Analysis of PDEs
|
| Title |
Measure theory and pseudo almost periodic automorphic functions: new developments and applications |
| Abstract |
In this work, we establish a new concept of weighted almost automorphic function using the measure theory. We present new results on weighted ergodic functions like completeness and composition theorems. The theory of this work generalizes the clasical results on weighted almost periodic and automorphic functions. For illustration, we provide some applications for evolution equations which include reaction-diffusion systems and partial functional differential equations. |
| Fulltext language |
English |
| Production date |
2011 |
|
| DOI |
10.1016/j.na.2011.10.041 |
| Journal |
Nonlinear Analysis: Theory, Methods and Applications |
| Audience |
international |
| Publication date |
2012 |
| Volume |
75 |
| Page, identifiant, ... |
2426-2447 |
|
| Keyword(s) |
measure theory – ergocity – mu-pseudo almost automorphic function – completeness – composition theorem – evolution equation – reaction-diffusion system – partial functional differential equation |
| Classification |
MSC: 34C27, 34K14, 34K30, 35B15, 35K55, 35K57, 43A60, 44A35, 47D06 |
|
