The author proves that for initial data in a set S ? (H2(?) ∩ H0(?)) × H0(?), 1 1 unbounded in H0(?) × L2(?), the solut...The author proves that for initial data in a set S ? (H2(?) ∩ H0(?)) × H0(?), 1 1 unbounded in H0(?) × L2(?), the solutions of the Cauchy-Dirichlet problem for the 1 dissipative Kirchho? equation Z ?t u ? ν + L 2 | x u|2dx xu + δ?tu = 0 (x ∈ ?, t > 0), ? are global in [0,+∞) and decay exponentially. The functions in S do not satisfy any additional regularity assumption, instead they must satisfy a condition relating their energy with the largest lacuna in their Fourier expansion. The larger is the lacuna the larger is the energy allowed.展开更多
While enjoying an economic boom, China has seen a widening income gap that has appeared like a chasm between its urban and rural citizens. What are the deep roots of this situation and what is the best way to deal wit...While enjoying an economic boom, China has seen a widening income gap that has appeared like a chasm between its urban and rural citizens. What are the deep roots of this situation and what is the best way to deal with it? Ding Yuanzhu, researcher at the Macro-Economic Research Institute of the National Development and Reform Commission, shares his views on this issue in an article published in Wen Hui Bao. Excerpts follow:展开更多
基金the Funds of the "Italian Ministero della Universit`a e della Ricerca Scientifica eTecnologica"
文摘The author proves that for initial data in a set S ? (H2(?) ∩ H0(?)) × H0(?), 1 1 unbounded in H0(?) × L2(?), the solutions of the Cauchy-Dirichlet problem for the 1 dissipative Kirchho? equation Z ?t u ? ν + L 2 | x u|2dx xu + δ?tu = 0 (x ∈ ?, t > 0), ? are global in [0,+∞) and decay exponentially. The functions in S do not satisfy any additional regularity assumption, instead they must satisfy a condition relating their energy with the largest lacuna in their Fourier expansion. The larger is the lacuna the larger is the energy allowed.
文摘While enjoying an economic boom, China has seen a widening income gap that has appeared like a chasm between its urban and rural citizens. What are the deep roots of this situation and what is the best way to deal with it? Ding Yuanzhu, researcher at the Macro-Economic Research Institute of the National Development and Reform Commission, shares his views on this issue in an article published in Wen Hui Bao. Excerpts follow:
