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Sep 20, 2018 at 1:25 comment added JCM Sorry a response took so long ... I forgot my login details ... see arxiv.org/abs/1607.08423
Jul 23, 2013 at 11:20 comment added JCM However, I would still appreciate any kind of reference to a similar piece of work, as it would make the introduction of the paper a tad nicer to read. At the moment, I still have little idea as to whether or not this has even been done before.
Jul 23, 2013 at 11:06 comment added JCM I could but it took me (for the first type of result) about 10 pages to construct (the second took a further 10), so perhaps not here. I will happily send you a copy when it is all written up (in a slightly more presentable form) though.
Jul 23, 2013 at 3:04 comment added Deane Yang Could you provide explicit examples of spatially inhomogeneous solutions to your problem?
Jul 23, 2013 at 3:03 history edited Deane Yang CC BY-SA 3.0
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Jul 22, 2013 at 18:39 comment added JCM I should also comment that I have already constructed spatially inhomogeneous solutions to these type of problems. I am merely looking for references for other works which have (if they exist) also bothered to do so ... and maybe find out why they bothered to construct them too.
Jul 22, 2013 at 18:37 comment added JCM This is merely an existence result, no guarantee is given with regard to spatial inhomogeneity. For all we know, the contraction mapping based existence result will just give solutions to the first order ode $u_t=f(u)$ with $u(0)=0$.
Jul 22, 2013 at 18:04 history answered Deane Yang CC BY-SA 3.0