International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Applications of Schrödinger equation in general Besov spaces

Essam Edfawy
Department of Mathematics, Taif University, Faculty of Science Box 888 El-Hawiyah, El-Taif 5700, Saudi Arabia. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
Email: [email protected]

  •  Accepted: 03 April 2013
  •  Published: 09 May 2013

Abstract

In this paper, we obtain solution of Schrödinger equation in general Besov spaces. Precise results on  and general Besov estimates of the maximal function of the solutions to the Schrodinger equation are given. The obtained results improve some recent results. Further, we shall consider estimates of general -norm and the general Besov type norm of integrals of this kind by means of the general Besov norm of the function f, and give -estimates of their maximal functions.

 

Key words: Maximal function, general Besov norm, Schrödinger equation.