On Global Boundedness, Stability and Almost Periodicity of Solutions for Heat Equations
2019 年 62 巻 2 号 p. 191-208
詳細
2019 年 62 巻 2 号 p. 191-208
This paper is concerned with the existence, stability and almost periodicity of global bounded solutions of linear and semilinear parabolic equations. We give a rather complete characterization to the linear equation ut − Δu = λu + f(x,t), in term of the parameter λ, of whether or not the global bounded solutions exist. Also, we obtain a complete characterization on the stability of global bounded solutions.
