Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (6): 1637-1654.

• Articles •     Next Articles

NONLINEAR SEMIGROUP APPROACH TO TRANSPORT EQUATIONS WITH DELAYED NEUTRONS

Abdul-Majeed AL-IZERI, Khalid LATRACH   

  1. Département de Mathématiques, Université Clermont Auvergne, CNRS, LMBP, F-63000 Clermont-Ferrand, France
  • Received:2017-03-07 Revised:2017-11-02 Online:2018-12-25 Published:2018-12-28
  • Contact: Khalid LATRACH E-mail:khalid.latrach@uca.fr

Abstract: This paper deal with a nonlinear transport equation with delayed neutron and general boundary conditions. We establish, via the nonlinear semigroups approach, the existence and uniqueness of the mild solution, weak solution, strong solution and local solution on Lp-spaces (1 ≤ p<+∞). Local and non local evolution problems are discussed.

Key words: transport equation with delayed neutrons, general boundary conditions, quasi-accretive operators, mild solution, strong solution, local and global solutions

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