Since then, Grozny has been rebuilt and now boasts skyscrapers and a huge central mosque.
The posters in central Grozny follow an earlier campaign there in support of the Tsarnaevs.
It said the military estimated the operation to capture Grozny might take three to four days.
Other figures put the number of people still in Grozny, including rebels, at 40, 000.
The building in Grozny was both the seat of power and the symbol of Chechnya's reconstruction.
But the city was until recently deemed reasonably safe, at least compared with Chechnya's capital, Grozny.
Spectacular and lethal fireworks over Grozny, probably, or conceivably a siege to starve out its defenders.
Monday's attack occurred in Znamenskoye, the main town in the Nadterechny district, north of Grozny.
The official results attained Soviet-style absurdity: turnout in the near-deserted and bombed-out capital, Grozny, was 98%.
To make things worse, Moscow's envoy to Grozny, Valentin Vlasov, was taken hostage on May Day.
Politics requires some good news, preferably the capture or surrender of Grozny, by December 19th.
Some top Chechens have been killed, including the commanding officer in Grozny, Aslanbek Ismailov.
Though Grozny was not important in itself, it was the symbol of Chechen resistance.
Military specialists say there is no easy option for the Russian forces converging on Grozny.
By contrast, during the siege of Grozny in the last Chechen war, 4, 000 Russian shells detonated every hour.
Guerrilla warfare is likely to continue for many months, especially if fighters from Grozny do reach the mountains.
Igor Sergeyev, the Russian defence minister, wishfully suggested on November 23rd that Grozny might fall without a fight.
Ms Estemirova's body was found a year ago near the Chechen Capital Grozny.
In 1990, a Tu-154 aircraft was forced to land in Turkey after taking off from the Chechen capital, Grozny.
But Moscow has failed to crush all rebel activity in the republic, despite capturing the capital Grozny in February.
Still dazed, the people of Grozny pick through the ruins of their homes.
Russia's onslaught on the Chechen city of Grozny in the mid-1990s is reckoned to have killed some 20, 000 civilians.
This is not the first time Mr Putin has grabbed headlines by flying into Grozny in a military fighter.
But taking on the Chechen forces in Grozny would involve a sharp increase in the Russian army's death toll.
The last war ended in 1996 with the Chechens retaking the capital, Grozny.
Ms Estemirova and her two-year-old daughter lived in a half-ruined flat in Grozny.
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Chechen fighters withdrew to the southern mountains following the Russian seizure of Grozny.
By mid-week, Russian forces had taken up positions along the Terek river, and some were within artillery range of Grozny.
Residents of Grozny say the posters most likely came from someone trying to make money out of the Boston Marathon bombings.
About 70 people were reported to have escaped from Grozny through the southwest corridor, which was established on Saturday, to Alkhan-Yurt.
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