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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
Spectral stability periodic wave trains Korteweg-de Vries/Kuramoto-Sivashinsky equation Korteweg-de Vries limit
2012/3/1
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation $ \partial_t v+v\partial_x v+\partial_x^3 v+\delta(\partial_x^2 v +\partial_x...
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators
Elliptic equations Dirichlet and Neumann boundary conditions stability of eigenvalues
2011/2/25
We prove sharp stability estimates for the variation of the eigenvalues of non-negative self-adjoint elliptic operators of arbitrary even order upon variation of the open sets on which they are define...