If you don't have a written lease or one that addresses the issue, then you may have challenges holding the tenant responsible - especially if the property is in California, which is notoriously tenant-friendly.

Bed bugs are notorious for being nearly impossible to get rid of on your own.

The place was notorious in the neighborhood.

I’ve learned that the seller I bought it from is notorious for not taking care of his properties. 3.

He fenced it uses it open and notoriously for the last 5 years and has paid tax's on it the last 7 years..  

TX is notorious for high property taxes and insurance, which in today's market can kill off the cash flow pretty hard.

It is possible and legal to honestly say that the owner is absent and you are renting the property until he or she returns.Though Adverse Possession law is not clear to the average person, nor to the average investor, the very website that you linked in a comment above, does provide an answer to your own challenges (except for your unnecessary claim that renting an abandoned property means pretending to own it).Sue you have linked to - http://legal-dictionary.thefreedictionary.com/adve...Under the “Elements” paragraph of that link it is clear our laws recognize that “nonpermissive use by the adverse claimant that is actual, open and notorious, exclusive, hostile, and continuous for the statutory period” can “ripen into legal title”.  

I will say, however, PMs are notoriously very difficult to deal with.

Some areas are notorious for failing to give the original owner proper notice of the sale.

@Cole Fleishour home radon tests are notoriously unreliable.