L^p estimates for the wave equation associated to the Grushin operator

• Kaur Jotsaroop ^[1] ; Sundaram Thangavelu ^[1]
  1. [1] Indian Institute of Science, India
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 13, Nº 3, 2014, págs. 775-794
• Idioma: inglés
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• Resumen

  • We prove that the solution of the wave equation associated to the Grushin operator G = −1−|x|2@2 t is bounded on L p(Rn+1), with 1 < p < 1, when !! 1 p − 12 !! < 1 n+2 .