Solvability of linear kinetic equations with multi-energetic inelastic scattering

Reports on Mathematical Physics

Volumn 52, Issue 2, 2003, Pages 235-253

  Banasiak, Jacek ^a   Groppi, Maria ^b  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Inelastic scattering; Substochastic semigroups

Indexed keywords

EID: 0242425213     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(03)90015-2     Document Type: Article

References (20)

1. L. Arlotti: J. Differential Equations 69 (1987), 166.
2. L. Arlotti: Acta Appl. Math. 23 (1991), 129.
3. J. Banasiak: Math. Models Methods Appl. Sci. 10 (2) (2000), 163.
4. J. Banasiak: Adv. Math. Sci. Appl. 10 (1) (2000), 375.
5. J. Banasiak, G. Frosali and G. Spiga: Math. Methods Appl. Sci. 23 (2000), 121.
6. J. Banasiak: Taiwanese J. Math. 5 (1) (2001), 169.
7. J. Banasiak: Math. Methods Appl. Sci. 25 (2002), 541.
8. K. M. Case and P. F. Zweifel: Linear Transport Theory, Addison-Wesley, Reading 1967.
9. C. Cercignani: The Boltzmann Equation and Its Applications, Springer, New York 1988.
10. C. Cercignani: Rarefied Gas Dynamics. From Basic Concepts to Actual Calculations, Cambridge University Press, Cambridge 2000.
11. K. J. Engel and R. Nagel: One-parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, Springer, New York 1999.
12. C. R. Garibotti and G. Spiga: J. Phys. A 27 (1994), 2709.
13. M. Groppi and G. Spiga: J. Math. Chem. 26 (1999), 197.
14. M. Groppi and G. Spiga: Appl. Math. Lett. 15 (2002), 29.
15. A. Majorana: Transport Theory Statist. Phys. 20 (4) (1991), 261.
16. P. A. Markowich, Ch. A. Ringhofer and Ch. Schmeiser: Semiconductor Equations, Springer, New York 1990.
17. A. Messiah: Quantum Mechanics, North-Holland, Amsterdam 1961.
18. J. Polewczak: Riv. Mat. Univ. Parma (6) 4* (2001), 23.
19. A. Rossani, G. Spiga and R. Monaco: Mech. Res. Commun. 24 (1997), 237.
20. J. Voigt: Transport Theory Statist. Phys. 16 (4-6) (1987), 453.