most citedStrichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

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math.AP2002★ 23 cited

Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

Nicolas Burq, Fabrice Planchon, John G. Stalker +1

We prove spacetime weighted-L^2 estimates for the Schrodinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

math.AP1998

Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics

Yan Guo, A. Shadi Tahvildar-Zadeh

We prove that for large enough data, the life span of smooth solutions to the Cauchy problem for the following two quasilinear hyperbolic systems is finite: (1) equations of relati…