Asymptotics for □ u = m 2 u + G ( x , t , u , u x , u t ) , I. Global existence and decay

John M. Chadam

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1972)

  • Volume: 26, Issue: 1, page 33-65
  • ISSN: 0391-173X

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Chadam, John M.. "Asymptotics for $\square \, u = m^2 u + G (x, t, u, u_x, u_t),$ I. Global existence and decay." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.1 (1972): 33-65. <http://eudml.org/doc/83591>.

@article{Chadam1972,
author = {Chadam, John M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {33-65},
publisher = {Scuola normale superiore},
title = {Asymptotics for $\square \, u = m^2 u + G (x, t, u, u_x, u_t),$ I. Global existence and decay},
url = {http://eudml.org/doc/83591},
volume = {26},
year = {1972},
}

TY - JOUR
AU - Chadam, John M.
TI - Asymptotics for $\square \, u = m^2 u + G (x, t, u, u_x, u_t),$ I. Global existence and decay
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1972
PB - Scuola normale superiore
VL - 26
IS - 1
SP - 33
EP - 65
LA - eng
UR - http://eudml.org/doc/83591
ER -

References

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  1. [1] I.E. Segal, Dispersion for Non-linear Relativistic Equations, II, Ann. Scient. Ec. Norm. Sup., ser 4, 1, 459-497, (1968). Zbl0179.42302MR243788
  2. [2] W.A. Strauss, Decay and Asymptotics for □ u = F(u), J. Functl. Anal., 2, 409-457, (1968). Zbl0182.13602
  3. [3] I.E. Segal, Non-linear Semi-groups, Ann. Math., 78, 339-364, (1963). Zbl0204.16004MR152908
  4. [4] S. Nelson, On Some Solutions to the Klein-Gordon Equation Related to an Integral of Sonine, to appear. Zbl0214.10102MR415049
  5. [5] A.P. Calderón, Lebesgue Spaces of Differentiable Functions and Distributions, 33-49, Proc. Symp. Pure Math. IV, Amer. Math. Soc.Providence, 1961. Zbl0195.41103MR143037
  6. [6] I.E. Segal, Quantization and Dispersion for Non-linear Relativistic Equations, 79-108, Proc. Conf. on Math. Theory of Elem. Patticles, M. I. T., Cambridge, 1966. 
  7. [7] R.A. Goldstein, Equality of Minimal and Maximal Extension of Partial Differential Operators iu Lp (Rn), Proc. Amer. Math. Soc., 17, 1031-1033, (1966). Zbl0156.32901MR197954
  8. [8] L. Nirenberg, On Elliptic Partial Differential Equations, Ann. Scoula Norm. Sup. Pisa, 13, 115-162, (1959). Zbl0088.07601MR109940
  9. [9] N. Shenk AND D. Thoe, Outgoing Solutions of (- Δ + q — k2) u = f in an Exterior Domain, J. Math. Anal. Appl., 31, 81-116, (1970). Zbl0201.13202
  10. [10] J.M. Chadam, The Asymptotic Behavior of the Klein-Gordon Equation with External Potential, I, J. Math. Anal. Appl., 31, 334-348, (1970) and II, Pac. J. Math., 31, 19-31, (1969). Zbl0212.44202MR262882

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