The Glassey conjecture with radially symmetric data

By K. Hidano, Chengbo Wang, K. Yokoyama. 2011

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Abstract In this paper, we verify the Glassey conjecture in the radial case for all spatial dimensions. Moreover, we are able to prove the existence results with low-regularity assumption on the initial data and extend the solutions to the sharp lifespan. The main idea is to exploit the trace estimates, KSS type estimates, and the generalized Strichartz estimates.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/06395b095a89d2927eecb0dddeca41760f243679