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- W2798853713 abstract "We consider the $L_t^2L_x^r$ estimates for the solutions to the wave and Schrodinger equations in high dimensions. For the homogeneous estimates, we show $L_t^2L_x^infty$ estimates fail at the critical regularity in high dimensions by using stable L'evy process in $R^d$. Moreover, we show that some spherically averaged $L_t^2L_x^infty$ estimate holds at the critical regularity. As a by-product we obtain Strichartz estimates with angular smoothing effect. For the inhomogeneous estimates, we prove double $L_t^2$-type estimates." @default.
- W2798853713 created "2018-05-07" @default.
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- W2798853713 date "2018-05-03" @default.
- W2798853713 modified "2023-09-23" @default.
- W2798853713 title "On the boundary Strichartz estimates for wave and Schrodinger equations" @default.
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- W2798853713 doi "https://doi.org/10.48550/arxiv.1805.01180" @default.
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