New function spaces reformulate ell^q L^p decoupling inequalities for sphere and light cone, are invariant under half-wave propagators, and improve fractional integration and local smoothing estimates.
Nonlinear wave equat ions with slowly decaying initial data
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Improved polynomial decay rates for unbounded C0-semigroups under polynomial resolvent growth, removing logarithmic losses on general Banach spaces.
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Function spaces for decoupling
New function spaces reformulate ell^q L^p decoupling inequalities for sphere and light cone, are invariant under half-wave propagators, and improve fractional integration and local smoothing estimates.
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Improved polynomial decay for unbounded semigroups
Improved polynomial decay rates for unbounded C0-semigroups under polynomial resolvent growth, removing logarithmic losses on general Banach spaces.