The rules for entry and residence are different on Svalbard than in mainland Norway. Although Norway is a part of the Schengen Agreement, Svalbard is excluded. Norwegian authorities do not require a visa for entry to Svalbard in itself, but if you have visa requirements to Norway / Schengen, then you must have a visa there if you are traveling through Norway / Schengen on the way to or from Svalbard.
If you are considering coming to Svalbard to stay, there are several important factors you should consider.
It is difficult to find employment and housing, and the climatic conditions are very demanding compared to most other places in the world. The cost of living is high, and the Governor can reject persons who do not have the means to stay in the archipelago. /Entry and Stay | Svalbard