scholarly journals Almost periodic solutions to systems of parabolic equations

1994 ◽  
Vol 7 (4) ◽  
pp. 581-586 ◽  
Author(s):  
Janpou Nee
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problems ◽  
Periodic Solutions ◽  
Linear Function ◽  
Parabolic Equations ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Systems Of Parabolic Equations

In this paper we show that the second-order differential solution is 𝕃2-almost periodic, provided it is 𝕃2-bounded, and the growth of the components of a non-linear function of a system of parabolic equation is bounded by any pair of con-secutive eigenvalues of the associated Dirichlet boundary value problems.

scholarly journals Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-17
Author(s):  
Fenglin Yang ◽  
Chuanyi Zhang
Keyword(s):  
Inverse Problems ◽  
Periodic Solutions ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic

We first show the existence and uniqueness of (pseudo) almost periodic solutions of some types of parabolic equations. Then, we apply the results to a type of Cauchy parabolic inverse problems and show the existence, uniqueness, and stability.

Almost-periodic solutions of elliptic and parabolic equations in unbounded domains

2002 ◽  
Vol 132 (6) ◽  
pp. 1275-1306 ◽  
Author(s):  
M. Amar ◽  
R. Gianni
Keyword(s):  
Periodic Solutions ◽  
Boundary Layers ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Unbounded Domains ◽  
Parabolic Partial Differential Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Periodic Homogenization ◽  
Elliptic And Parabolic Equations

This paper is devoted to the study of the existence and uniqueness of almost-periodic solutions for elliptic and parabolic partial differential equations in unbounded domains. This kind of investigation had originally been motivated by the study of the so-called boundary layers, whose behaviour is crucial in the framework of periodic homogenization.

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