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Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
EMBEDDING AND MAXIMAL REGULAR DIFFERENTIAL OPERATORS IN SOBOLEV-LIONS SPACES
embedding operators Banach-valued function spaces differential operator equations (DOE) maximal regularity operator-valued Fourier multipliers interpolation of Banach spaces
2007/12/11
This study focuses on vector-valued anisotropic Sobolev--Lions spaces associated with Banach spaces $E_{0},$ $E$. Several conditions are found that ensure the continuity and compactness of embedding o...