Globally regular solutions to the u 5 Klein-Gordon equation

Michael Struwe

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)

  • Volume: 15, Issue: 3, page 495-513
  • ISSN: 0391-173X

How to cite

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Struwe, Michael. "Globally regular solutions to the $u^5$ Klein-Gordon equation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.3 (1988): 495-513. <http://eudml.org/doc/84039>.

@article{Struwe1988,
author = {Struwe, Michael},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {nonlinear wave equation; unique global regular solution; rotational invariance},
language = {eng},
number = {3},
pages = {495-513},
publisher = {Scuola normale superiore},
title = {Globally regular solutions to the $u^5$ Klein-Gordon equation},
url = {http://eudml.org/doc/84039},
volume = {15},
year = {1988},
}

TY - JOUR
AU - Struwe, Michael
TI - Globally regular solutions to the $u^5$ Klein-Gordon equation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
PB - Scuola normale superiore
VL - 15
IS - 3
SP - 495
EP - 513
LA - eng
KW - nonlinear wave equation; unique global regular solution; rotational invariance
UR - http://eudml.org/doc/84039
ER -

References

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  1. [1] K. Jörgens, Das Anfangswertproblem im Grossen für eine Klasse nichtlinearer Wellengleichungen, Math. Z.77 (1961), pp. 295-308. Zbl0111.09105MR130462
  2. [2] S.I. Pohožaev, Eigenfunctions of the equation Δu + λ f(u) = 0. Doklady, 165 (1965), pp. 1408-1411. Zbl0141.30202
  3. [3] J. Rauch, The u5 - Klein-Gordon equation, in Nonlinear PDE's and applications, Ed. Brezis, Lions; Pitman Research Notes in Math. 53 (1981), pp. 335-364. Zbl0473.35055MR631403
  4. [4] P. Brenner - W. Von Wahl, Global classical solutions of nonlinear wave equations, Math. Z.176 (1981), pp. 87-121. Zbl0457.35059MR606174
  5. [5] H. Pecher, Ein nichtlinear Interpolationsatz und seine Anwendung auf nichtlineare Wellengleichungen, Math. Z.161 (1978), pp. 9-40. Zbl0384.35039MR499812

Citations in EuDML Documents

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  1. Nicolas Burq, Existence globale pour l’équation des ondes semi linéaire H 1 -critique dans des domaines de dimension 3
  2. Thomas Duyckaerts, Frank Merle, Dégénérescence du comportement linéaire pour l’équation des ondes semi-linéaire focalisante critique
  3. Marcel Dossa, Solutions globales de systèmes non linéaires sur des variétés hyperboliques
  4. P. Gérard, Sur l'équation des ondes non linéaires avec exposant critique
  5. Guy Métivier, Exemples d’instabilités pour des équations d’ondes non linéaires
  6. Jalal Shatah, Regularity results for semilinear and geometric wave equations
  7. Hajer Bahouri, Jalal Shatah, Decay estimates for the critical semilinear wave equation
  8. Carlos E. Kenig, Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations
  9. Carlos E. Kenig, Frank Merle, On the energy critical focusing non-linear wave equation
  10. Pierre Germain, Solutions globales d’énergie infinie pour l’équation des ondes critique

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