Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces
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
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A priori estimates in geometry and Sobolev spaces on open manifolds [PDF]
Jürgen Eichhorn
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Fractional Sobolev spaces on Riemannian manifolds. [PDF]
Caselli M, Florit-Simon E, Serra J.
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Inviscid limit on $L^p$-based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier boundary conditions [PDF]
Mustafa Sencer Aydın
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Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity u ¯ 2 in Negative Sobolev Spaces. [PDF]
Liu R.
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Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators
Ayşe Sandıkçı +1 more
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Mixed fractional Sobolev spaces and elliptic PDEs with singular integral boundary data [PDF]
Jochen Merker
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Ghosh S, Kumar V, Ruzhansky M.
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