Defocusing semilinear wave equations in dimension d at least 3 satisfy integrated local energy decay for all energy-subcritical and critical powers, and scatter for powers above 1 + sqrt(d^2 + 4d - 4) / (d - 1) without spherical symmetry.
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Global behaviors of defocusing semilinear wave equations
Defocusing semilinear wave equations in dimension d at least 3 satisfy integrated local energy decay for all energy-subcritical and critical powers, and scatter for powers above 1 + sqrt(d^2 + 4d - 4) / (d - 1) without spherical symmetry.