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Feb 16, 2015 at 8:56 comment added jokersobak @MichaelRenardy Thank you. I need $L^2$ space because in my problem Lipschitz condition is fulfilled in $L^2$.
Feb 16, 2015 at 4:02 comment added Michael Renardy $u^2$ does not map $L^2$ to $L^2$. But there is no need to use $L^2$ as a function space. Examine the usual existence proof for ODEs. It is based on converting the ODE to a Volterra equation!
Feb 16, 2015 at 3:23 review Close votes
Feb 21, 2015 at 2:58
Feb 16, 2015 at 1:46 history asked jokersobak CC BY-SA 3.0