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- W3130135689 abstract "The endpoint Strichartz estimate $$Vert e^{itDelta } fVert _{L_t^2 L_x^infty } lesssim Vert fVert _{L^2}$$ is known to be false in two space dimensions. Taking averages spherically on the polar coordinates $$x=rho omega $$ , $$rho >0$$ , $$omega in {{mathbb {S}}}^1$$ , Tao showed a substitute of the form $$Vert e^{itDelta } fVert _{L_t^2L_rho ^infty L_omega ^2} lesssim Vert fVert _{L^2}$$ . Here we address a weighted version of such spherically averaged estimates. As an application, the existence of solutions for the inhomogeneous nonlinear Schrödinger equation is shown for $$L^2$$ data." @default.
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- W3130135689 date "2022-04-18" @default.
- W3130135689 modified "2023-10-14" @default.
- W3130135689 title "Endpoint Strichartz estimates with angular integrability and some applications" @default.
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- W3130135689 doi "https://doi.org/10.1007/s00028-022-00797-4" @default.
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