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this is the second of three videos about the well-posedness of the nonlinear radio equation in high regularity serverless spaces and today weamp;#39;re going to be focusing specifically on the uniqueness aspect of local well-posediveness so just a quick reminder the nonlinear radio equation that weamp;#39;re studying is this equation IDT plus the Plus in U equals U module P minus 1 and we give an initial data at some time t 0 in HS and throughout weamp;#39;re going to be taking s greater than n over 2 and P to be an odd integer so in the previous video we proved the local existence of solutions to this problem and also the continuous dependence of those Solutions on the initial data in HS so today we come on to the third aspect of local well-posedness and weamp;#39;re going to show the uniqueness of solutions in this solution space which Iamp;#39;ll come on to in more detail in a moment so just to be clear on what we know so far in the last video we proved the following theorem so
