Vladimir Efimov, a local politician on the Kamchatka Peninsula in Russia’s Far East, was charged with “discrediting the army” and ordered to pay a $500 fine three times in recent months over antiwar images that he displayed on social media.

When he continued, reposting battlefield pictures like the wholesale destruction of the Ukrainian port city of Mariupol under Russian bombardment, prosecutors ratcheted up the charges and accused him of a felony — punishable by up to five years in prison or stiffer fines.

“They thought that I would be afraid,” Mr. Efimov said, that the fines “would give me cold feet and make me hide away.”

Three months ago, President Vladimir V. Putin signed into law draconian measures designed to silence war critics, putting even use of the word “war” off-limits. They prompted some Russians appalled by the invasion to flee the country, forced independent news outlets to shut down, and created a climate of suspicion in which neighbor turned on neighbor.

While the laws initially led to a few, highly publicized cases, it is now becoming clear that local prosecutors nationwide are applying them with particular zeal.

At least 50 people face prison sentences of up to either 10 years or five years hard labor, or fines of as much as $77,000, for spreading “false information” about the military. More than 2,000 people have been charged with lesser infractions, according to a human rights organization that tracks cases nationwide.

The charges piling up against activists, politicians, journalists and ordinary Russians in big cities and remote towns, from Kamchatka in the Far East to Kaliningrad in the west, provide a stark gauge of how the Kremlin has intensified the repression of those who criticize the war.

“Clearly, the goal was to have a chilling effect on the public and on any critical voices against the military operation,” said Pavel Chikov, the head of the Agora Human Rights Group, which tallied the cases and has helped to defend some of the accused. “To a certain extent it was successful because people are kind of cautious about how they express their opinions.”

The two laws address slightly different actions. The harsher one criminalized deliberately spreading “false information” about the military, interpreted as anything outside the official version of events. If the actions cause undefined “grave consequences,” the sentence goes up to 15 years imprisonment or an $80,000 fine.

The second outlawed virtually any protest or public criticism of the war as potentially “discrediting” the military, in a kind of “three strikes” law. It carries fines for the initial incidents, while repeat offenders face criminal charges that carry prison sentences of up to five years or financial penalties. To date, four criminal cases have emerged from among the 2,000 charged, but the numbers are expected to rise, Mr. Chikov said.

“If we talk about cases involving freedom of expression, I would say it is the highest number ever,” he added.

With the first criminal cases only now coming to trial, it remains unclear how harshly judges — generally prone to toe the Kremlin line — will treat defendants.

Defense lawyers are not optimistic. “I would like to hope that the courts will be just and they will listen to our arguments,” said Marina Yankina, the lawyer for a freelance journalist in southwestern Siberia whose trial started Wednesday. “But I have been working for a long time, and unfortunately it is not going to happen.”

The charges against her client, Andrei Novashov, 45, from a small city called Prokopyevsk, are a case in point. Mr. Novashov said he was surprised at being accused of spreading “false information” over five social media posts, including a repost from a well-known photojournalist about the Russian military destroying a maternity hospital in Mariupol.

Officers began breaking down his door at 6 a.m. as if he were “some drug dealer or pimp,” he said. Like most defendants, Mr. Novashov was barred by the judge from using the internet or his phone, but he was able to speak to a local podcaster

In an echo of Stalinist times, the new laws have galvanized people to turn in their fellow citizens. After Aleksei Gorinov, 61, a local politician in Moscow, publicly criticized Victory Day events for children when Ukrainian children were dying, five Russians reported him to law enforcement, said his lawyer, Sergei N. Telnov.

The authorities started the case against Mr. Gorinov on April 25, took him to jail on April 27, and issued an indictment on May 1, Mr. Telnov said, adding that “it is super fast.” Mr. Gorinov was accused of spreading false information, including calling the conflict a “war,” since officially it remains a “special military operation.”

In letters to supporters from pretrial detention — where he said he initially slept on a cement floor in an overcrowded cell with suspected thieves and drug dealers from Central Asia — Mr. Gorinov wrote that Russia had reached a sad state when someone who criticized a war faced 10 years imprisonment.

Supporters on Wednesday flocked to the start of his trial, which was live-blogged by a reporter from Mediazona, a website that covers court cases. “A man is judged for his opinion,” Mr. Gorinov said, speaking from the metal courtroom cage where Russian defendants are kept. “When else will you see this?”