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Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces

open access: yesElectronic Journal of Differential Equations, 2010
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes   +1 more
doaj  

Fractional Sobolev spaces on Riemannian manifolds. [PDF]

open access: yesMath Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source

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