Convergence dans L p ( R n + 1 ) de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes

Alain Bachelot

Annales de la Faculté des sciences de Toulouse : Mathématiques (1986-1987)

  • Volume: 8, Issue: 1, page 37-60
  • ISSN: 0240-2963

How to cite

top

Bachelot, Alain. "Convergence dans $L^p (R^{n+1})$ de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.1 (1986-1987): 37-60. <http://eudml.org/doc/73183>.

@article{Bachelot1986-1987,
author = {Bachelot, Alain},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {continuity of the solution; Klein-Gordon equation; convergence; wave equation; inverse scattering problem},
language = {fre},
number = {1},
pages = {37-60},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Convergence dans $L^p (R^\{n+1\})$ de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes},
url = {http://eudml.org/doc/73183},
volume = {8},
year = {1986-1987},
}

TY - JOUR
AU - Bachelot, Alain
TI - Convergence dans $L^p (R^{n+1})$ de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1986-1987
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 1
SP - 37
EP - 60
LA - fre
KW - continuity of the solution; Klein-Gordon equation; convergence; wave equation; inverse scattering problem
UR - http://eudml.org/doc/73183
ER -

References

top
  1. [1] Bachelot ( A.).- Problème inverse de diffusion non linéaire, C.R. Acad. Sci.Paris, t. 293, série A, 1981, p. 121-124. Zbl0475.35070MR637106
  2. [2] Ginibre ( J.) et Velo ( G.). — Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrôdinger équations, Ann. IHP. (Physique Théorique), t. 43, n°4, 1985, p. 399-442. Zbl0595.35089MR824083
  3. [3] Methee ( P.D.). - Sur les distributions invariantes dans le groupe de rotations de Lorentz, Commentarii math. Helvetici, t. 28, 1954, p. 1-49. Zbl0055.34101MR64268
  4. [4] Morawetz ( C.).— Notes on time decay and scattering for some hyperbolic problems. - Regional Conference Series in Applied Math.Philadelphia1975. Zbl0303.35002MR492919
  5. [5] Morawetz ( C.) et Strauss ( W.A.).- On a nonlinear scattering operator, Comm. Pure Appl., t. XXVI, 1973, p. 47-54. Zbl0265.35057MR348299
  6. [6] Reed ( M.) et Simon ( B.). - Method of modern mathematical physics, Academic Press, t. II-III, 1973, p. Zbl0401.47001MR751959
  7. [7] Segal ( I.).— Dispertion for nonlinear relativistic equations II, Ann. Sci. Ecole Normale Sup., t. 4, I, 1968, p. 459-497. Zbl0179.42302MR243788
  8. [8] Stein ( E.). — Interpolation of linear operator, Trans. Amer. Math. Soc., t. 83, 1956, p. 482-492. Zbl0072.32402MR82586
  9. [9] Strauss ( W.A.).— Nonlinear scattering at low energy, J. Func. Anal., t. 41, 1981, p. 110-133. Zbl0466.47006MR614228
  10. [10] Strauss ( W.A.).- Nonlinear invariant wave equations in invariant wave equations, SprigerLectures Notes in Physics, t. 73, 1978, p. 197-249. MR498955
  11. [11] Strauss ( W.A.).- Nonlinear scattering theory in Scattering theory in mathematical physics. — (J. Lavita, J.P. Marchand, eds.), Reidel, Dordrecht, Holland. 1974. 
  12. [12] Strichartz ( R.S.).- Fourier transform and non compact rotation group, Indiana Univ. Math. J., t. 24, 1974, p. 499-527. Zbl0295.42015MR380278
  13. [13] Strichartz ( R.S.).- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J., t. 44, 1977, p. 705-714. Zbl0372.35001MR512086

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.