Guo, Yali; Zhang, Chuangyi Slowly oscillating solutions to some classes of partial evolution equations. (English) Zbl 1212.35059 J. Nat. Sci. Heilongjiang Univ. 26, No. 1, 113-117 (2009). Summary: Some sufficient conditions for the existence and uniqueness of slowly oscillating (mild) solutions to some classes of partial evolution equations are discussed. Thereby, the existence and uniqueness of slowly oscillating solutions to some partial differential equations are given. MSC: 35G10 Initial value problems for linear higher-order PDEs Keywords:slowly oscillating function; exponentially stable semigroup; partial differential equations PDFBibTeX XMLCite \textit{Y. Guo} and \textit{C. Zhang}, J. Nat. Sci. Heilongjiang Univ. 26, No. 1, 113--117 (2009; Zbl 1212.35059)