In this work, we establish precise microlocalized propagation estimates in three-body problems and give a proof for the asymptotic completeness of waves operators in three-body long range scattering for a class of long range potentials of the form Va xa) = V(1)a xa) + V(2)a xa) with V(1)a ≥ 0 decaying like O(|xa| −ϵ′) for some ϵ′ > 1/2 and V(2)a decaying like O(|xa| −γ) for some γ > 2(1 − ϵ′)/ϵ′.
These days, Abidjan looks less like Paris and more like a decaying Third World city.
Even the airport terminal used by Ryanair is like a decaying Naafi hut.
"It smells like a decaying body," said Wilfredo Gebre, who noted that the smell was especially bad on hot summer days.
Though it is only 40 years old, its blue-tiled walls, flimsy drop ceilings and stingy fluorescent lighting make it look like a decaying bathhouse.
The sordid sequence of five intertwined tales rawly depicts the lives of post-war New York junkies, hustlers, drag-queens, gang-members, wide-boys and prostitutes festering in a brutal Red Hook waterfront area like a decaying open wound.
It was a huge place on Tahrir Square, more like a decaying antique shop than an apartment, with rooms full of dusty furniture and gilt-framed paintings, decaying encyclopedias, dead plants, chipped tables covered with ashtrays and plates of half-eaten food.
While Mr. Quinn stood on a stage designed to look like a decaying amphitheater, repeating a routine about the elements of civilization the Romans appropriated from the Greeks, Mr. Seinfeld sat to the side, forcing his audibly hoarse star to start over if he stumbled on his lines or omitted even a single word.
Another kind of discomfort is to be felt inside a hollowed-out shell of what looks like a decaying baobab tree: the viewer is surrounded by the glass-enclosed innards of the tree, which swarm with Madagascar hissing cockroaches — creatures which, for city dwellers, inspire the same fear lions do in the wild.
It sits like a decaying monument to America's manufacturing prosperity and all that came from it, such as culture, community and commerce.
