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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 4
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Research Article

Dispersive estimates for kinetic transport equation in Besov spaces

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Pages 1123-1131 | Received 27 Apr 2021, Accepted 23 Aug 2021, Published online: 09 Sep 2021

References

  • Ovcharov EY. Strichartz estimates for the kinetic transport equation. SIAM J Math Anal. 2011;43(3):1282–1310.
  • Cazenave T, Weissler FB. The cauchy problem for the critical nonlinear schr o¨dinger equation in Hs. Nonlinear Anal TMA. 1990;14:807–836.
  • Ginibre J, Velo G. Generalized strichartz inequalities for the wave equation. J Funct Anal. 1995;133:50–68.
  • Lindblad H, Sogge CD. On existence and scattering with minimal regularity for semilinear wave equations. J Funct Anal. 1995;130:357–426.
  • Mockenhautpt G, Seeger A, Sogge CD. Local smoothing of Fourier integrals and carleson sj o¨lin estimates. J Amer Math Soc. 1993;6:65–130.
  • Strichartz RS. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math J. 1977;44:705–714.
  • Wang BX, Huo ZH, Hao CC, et al., Harmonic analysis method for nonlinear evolution equations, I. World Scientific Publishing Co. Pte. Ltd.; Singapore, 2011.
  • Bahouri H, Chemin JY, Danchin R. Fourier analysis and nonlinear partial differential equations. Heidelberg: Springer; 2011.
  • Zhou SM. The cauchy problem for a generalized b-equation with higher-order nonlinearities in critical besov spaces and weighted Lp spaces. Discrete Contin Dyn Syst. 2014;34(11):4967–4986.
  • Zhou SM, Mu CL, Wang LC. Well-posedness, blow-up phenomena and global existence for the generalized b-equation with higher-order nonlinearities and weak dissipation. Discrete Contin Dyn Syst. 2014;34(2):843–867.

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