Local and global well-posedness results are established for the fourth-order Schrödinger equation with spatially growing inhomogeneous term in energy and lower Sobolev spaces under spherical symmetry.
Leoni,A first course in Sobolev spaces, Grad
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A note on the fourth-order Schrodinger equation with spatially growing inhomogeneous source term
Local and global well-posedness results are established for the fourth-order Schrödinger equation with spatially growing inhomogeneous term in energy and lower Sobolev spaces under spherical symmetry.