The existence of such exotic norms is just a guess. I do know for certain that other L^p norms and Sobolev norms aren’t conserved over time (one can bound their rate of growth in some cases, but that’s not nearly as special), but my relevant math books are in another city. I’ll see if I can find a reference.
Good, I thought as much. Do you have links to papers about such exotic norms?
The existence of such exotic norms is just a guess. I do know for certain that other L^p norms and Sobolev norms aren’t conserved over time (one can bound their rate of growth in some cases, but that’s not nearly as special), but my relevant math books are in another city. I’ll see if I can find a reference.