Sharp null form estimates for the wave equation

• Autores: Sanghyuk Lee , Ana Vargas Rey
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 5, 2008, págs. 1279-1326
• Idioma: inglés
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• Resumen

  • Null form estimates (from $\dot{H}^{\alpha_1}\times\dot{H}^{\alpha_2}$ to $L^q_t(L^r_x)$) for the wave equation in ${\Bbb R}^{n+1}$ are studied. For $n\ge4,$ we obtain the sharp null form estimates except for the endpoints. For $n=2,\,3$ we obtain the estimates under the additional assumption $4/n