Publications of Mustapha Jazar

September 2009

 

  1. H. Emamirad and M. Jazar, Applications of Spectral Distributions to some Cauchy Problems in Lp(Rn), Trends in Semigroup Theory and Evolution Equations, volume 135 (1991) pages 143-151.
  2. M. Balabane, H. Emamirad and M. Jazar, Spectral Distributions and Generalization of Stone's Theorem to the Banach Space, Acta Applicandae Mathematicae volume 31 (1993) pages 275- 295.
  3. M. Jazar, Fractional powers of the momentum of a spectral distribution, Proceedings of the American Mathematical Society, June 1995 volume 123 6 pages 1805-1813.
  4. R. deLaubenfels and M. Jazar, Commuting multiplicative perturbations, Houston Journal of Mathematics volume 20 3 (1994).
  5. R. deLaubenfels and M. Jazar, Regularized Spectral Distribution, Acta Applicandae Mathematicae volume 43 (1996) pages 267-287.
  6. R. deLaubenfels, H. Emamirad and M. Jazar, Regularized Scalar Operators, Applied Mathematics Letters, volume 10 1 (1997).
  7. R. deLaubenfels and M. Jazar, Semi Spectral Distributions, Integrated and Regularized Semigroups, Studia Mathematicae 132 (1999) pages 151-172.
  8. M. Jazar, Spectral distributions and some Cauchy problems, Applied Mathematics Letters, 12 (1999) pages 59-64.
  9. M. Jazar, A generalization of Gelfand's theorem, Funktionalanalysis und Differentialgleichungen, Helft 6 (2001) pages 184-189.
  10. M. Balabane, Ph. Souplet and M. Jazar, Oscillatory blow-up in nonlinear second order ODE's: the critical case, Discrete Contin. Dynam. Systems, vol. 9, n. 3 (May 2003), 577-584.
  11.  J. Huentutripay, L. Véron and M. Jazar, A dynamical system approach to the construction of singular solutions of some degenerate elliptic equations, J. Differential Equations 195 (2003), no. 1, 175-193.
  12. M. Fakhri and M. Jazar, Spectral distributions and Gelfand's theorem, Taiwanese J. of Math. 8 no. 2 (2004).
  13. Kh. Ezzinbi and M. Jazar, New Criteria for the Existence of Periodic and Almost Periodic Solutions for Non-Dense Differential Equations in Banach Spaces, E. J. Qualitative Theory of Diff. Equ., No. 6. (2004), pp. 1-12.
  14. M. Jazar and S. Younan, On the numerical approach of the fictitious domains technique, International Journal for Information & Systems Sciences. Volume 1, Number 2 (2005), 150-161.
  15. Kh. Ezzinbi and M. Jazar, Blow-up results of some nonlinear delay differential equations, Positivity, Volume 10, Number 2
    (2006), 329-341.
  16. A. ElSoufi, M. Jazar and R. Monneau, A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation, Annales de L'IHP, ANL. 24(1), 17-39 (2007).
  17. A. El Soufi, M. Jazar and H. Giacomini, Greatest least eigenvalue of the Laplacian on the Klein bottle, Duke Math. J. 135, no. 1 (2006), 181--202.
  18. M. Jazar and R. Kiwan, Blow-up result for second order hyperbolic equations with a nonlinear term with respect to the velocity, JMAA. 327 (2006), 12-22.
  19. M. Bidaut-Véron, M. Jazar  and L. Véron, Separable solutions of some quasilinear equations with source reaction, J. Diff. Equations, 244 (2008) 274-308..
  20. M. Jazar and R. Kiwan, Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions, Annales de L'IHP, ANL, ANIHPC 2216.
  21. A. Dirouich, O. ElMennaoui and M. Jazar, On spectral decomposition of unbounded operators and Gelfand's theorem. Semigroup Forum (2009) accepted.
  22. A. ElSoufi and M. Jazar, Pseudo radial solutions of some semi-linear elliptic equations on symmetric domains, DIE 21 (7-8), pp. 601-622 (2008).
  23. W. Al-Sayed, M. Jazar and L.Véron, Reduced measures associated to parabolic problems, proceedings of Steklov institue, 206, pp. 3-24 (2008).
  24. H. Ibrahim, M. Jazar and R. Monneau, Global existence of solutions to a singular parabolic/Hamilton–Jacobi coupled system with Dirichlet conditions, C. R. Acad. Sci. Paris, Ser. I 346 (2008) 945–950.
  25. Dynamics of dislocation densities in a bounded channel. Part I: smooth solutions to a singular coupled parabolic system, with H. Ibrahim and R. Monneau. Accepted CPAA 2009.
  26. H. Ibrahim, M. Jazar and R. Monneau,Dynamics of dislocation densities in a bounded channel. Part II: existence of weak solutions to a singular HJ/parabolic strongly coupled system, with H. Ibrahim and R. Monneau. Accepted CPDE 2009.
  27. H. Faour, M. Jazar and Ch. Messikh, Local existence and uniqueness for a semi-linear accretive wave equation. Submitted 2009.
  28. H. Faour, M. Jazar and Ch. Messikh, Blow-up rate for a semi-linear accretive wave equation. Submitted 2009.

In preparation

·  A. EL Hamidi, S. Issa and M. Jazar, Ill-posdness of sub-linear minimization problem in image process.

·  A. EL Hamidi, S. Issa and M. Jazar, Non standard diffusion and anisotropic regularisation in image process

·  Numerical computation of the First eigenvalue of the p-Laplace operator on the unit sphere, with H. Azari and A. El Soufi.

·  Kh. Ezzinbi, M. Jazar and J. A. Goldstein, Convergence to equilibrium of some nonlinear parabolic equation with delay.

·  Kh. Ezzinbi and M. Jazar, Qualitative study of some semi-linear parabolic equations with delay, Qualitative study of solutions of nonlinear degenerate parabolic equations.

Software for Mathematical teaching

  1. STATI1, Les éditions Chrysis 1989. France
  2. TRIGO (licence mixte), Les éditions Chrysis 1990. France
  3. SMAO6 (licence mixte), Les éditions Chrysis 1990. France

Books

·  "Building-up mathematics", third year secondary, national manual, life sciences section, September 2000 (with T. Roumi).