A remark on global smooth solutions for quasilinear wave equations

Renato Manfrin

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 91, page 1-17
  • ISSN: 0041-8994

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Manfrin, Renato. "A remark on global smooth solutions for quasilinear wave equations." Rendiconti del Seminario Matematico della Università di Padova 91 (1994): 1-17. <http://eudml.org/doc/108318>.

@article{Manfrin1994,
author = {Manfrin, Renato},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {global smooth solutions; decay estimates},
language = {eng},
pages = {1-17},
publisher = {Seminario Matematico of the University of Padua},
title = {A remark on global smooth solutions for quasilinear wave equations},
url = {http://eudml.org/doc/108318},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Manfrin, Renato
TI - A remark on global smooth solutions for quasilinear wave equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 91
SP - 1
EP - 17
LA - eng
KW - global smooth solutions; decay estimates
UR - http://eudml.org/doc/108318
ER -

References

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  1. [G1] L. Gårding, Cauchy Problem for Hyperbolic Equations, Lect. NotesUniv., Chicago (1957). Zbl0091.26902
  2. [G2] L. Gårding, Solution directe du probleme de Cauchy pour les equations hyperboliques, Colloque CNRS, Nancy (1956), pp. 71-90. Zbl0075.09703MR116142
  3. [M] S. Mizohata, The Theory of Partial Differential Equations, Cambridge University Press, Cambridge1973. Zbl0263.35001MR599580
  4. [N] L. Nirenberg, On elliptic partial differential equations, Ann. Sc. Norm. Sup. Pisa (13) 3 (1959), pp. 1-48. Zbl0108.10001MR109940
  5. [W] W. Von Wahl, L p-Decay rates for homogeneous wave equations, Math. Z., 120 (1971), pp. 93-106. Zbl0212.44201MR280885
  6. [K] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical equations, Comm. Pure Appl. Math., 38 (1985), pp. 321-332. Zbl0635.35059MR784477
  7. [K1] S. Klainerman, Global existence for nonlinear wave equations, Comm. Pure Appl., Math., 33 (1980), pp. 43-101. Zbl0405.35056MR544044
  8. [K,P] S. Klainerman - G. Ponce, Global small amplitude solutions to nonlinear evolution equationms, Comm. Pure Appl. Math., 36 (1983), pp. 133-141. Zbl0509.35009MR680085
  9. [T,Y] Li Ta-Tsien - Chen Yun-Mei, Initial value problems for nonlinear wave equations, Comm. Part. Diff. Equat., 13 (1988), pp. 383-422. Zbl0662.35071MR920909
  10. [Ma] R. Manfrin, Soluzioni periodiche globali per l'equazione delle onde non lineari, Pubbl. Dip. Mat. Pisa, 547 (1990). 

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