-
Article
Compact Almost Automorphic Solutions to Poisson’s and Heat Equations
In the present work, we revisit several structural properties of almost automorphic and compact almost automorphic functions from the Euclidean space ...
-
Article
Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces
We prove the existence and uniqueness of \(\mu \) μ -pseudo almost automorph...
-
Article
Multi-dimensional Almost Automorphic Type Functions and Applications
In this paper, we introduce and analyze several new classes of multi-dimensional almost automorphic functions which generalize the classical one of Bochner. We develop the basic theory for the introduced class...
-
Article
On the \(L^p\) -Theory of Vector-Valued Elliptic Operators
In this paper, we study vector-valued elliptic operators of the form $${\mathcal {L}}f:=\mathrm {div}(Q\nabla f)-F\cdot \nabla f+\mathrm {div}...
-
Article
Almost automorphic solutions for nonautonomous parabolic evolution equations
In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dicho...