Displaying similar documents to “ H 1 -stability of mKdV multi-kinks”

On the uniqueness of ground states of non-local equations

Rupert L. Frank (2011)

Journées Équations aux dérivées partielles

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We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.

A note on linear perturbations of oscillatory second order differential equations

Renato Manfrin (2010)

Archivum Mathematicum

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Under suitable hypotheses on γ ( t ) , λ ( t ) , q ( t ) we prove some stability results which relate the asymptotic behavior of the solutions of u ' ' + γ ( t ) u ' + ( q ( t ) + λ ( t ) ) u = 0 to the asymptotic behavior of the solutions of u ' ' + q ( t ) u = 0 .