In most cases, but not all, the sidewalk strips belong to the city. Some however belong to a private individual or a corporation, it all depends on many things.
I was once attacked by two very large men who decided that the sidewalk strip in front of their hospital and hospice equipment business was theirs to control. I was not detecting at all, but I had my detector out anyway - although I had already decided to NOT use it there, especially since the area was so well manicured. The attack insued and I decided to persue the matter in civil court due to the attitude of the two men. I was a belt holder in judo and sogo kempo at the time and later on added jiujitsu to my experiences, but I decided to not hurt either of them at that time regardless of what they did, or their decidedly menacing behavior. A trip to the DA's office made my day . The court (in the ensuing trial) determined that although the property was that of the city, that the people caring for it were legally responsible for it, so there was no ill intention on their part, rather they were trying to protect theirs and the city's interest, even though no damage of any kind had been done to the city's property in any way.
The end product was that I learned to be very careful with the sidewalk strips and to only consider the older, less cared for strips in the run-down parts of town, as in the older abandoned places. I also take a gun with me when I hunt those places now. The attorneys for the two men cost them thousands of $$$, and I mean THOUSANDS! They had to buy the best lawyers they could find. As I said, there was a trial and the men were warned by the judge that the next time they attacked someone and returned to his courtroom that there would be jail time the next time around, without fail. Still, the next person may not know that the strip could well be city property and I may have equal right to search there as long as I don't damage anything, run down or not. In that case, I would be answering to the city, not the person who thinks he or she owns the strip. It's always better to be safe than sorry.
EasyMoney