Xiao, Yuelong Upper semicontinuity of the attractor for the regular semigroup of a singularly perturbed diffusion equation. (Chinese. English summary) Zbl 1033.35091 Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 1, 1-7 (2003). Summary: For the regular solution semigroup of a singularly perturbed diffusion equation, the existence and upper-semicontinuity of the attractor are proved. Cited in 1 Document MSC: 35Q35 PDEs in connection with fluid mechanics 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems 35K55 Nonlinear parabolic equations Keywords:solution semigroup; singularly perturbed diffusion equation; existence and upper-semicontinuity of the attractor PDFBibTeX XMLCite \textit{Y. Xiao}, Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 1, 1--7 (2003; Zbl 1033.35091)