Remarks on bounded solutions of a semilinear dissipative hyperbolic equation

Marie Kopáčková

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 713-719
  • ISSN: 0010-2628

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Kopáčková, Marie. "Remarks on bounded solutions of a semilinear dissipative hyperbolic equation." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 713-719. <http://eudml.org/doc/17782>.

@article{Kopáčková1989,
author = {Kopáčková, Marie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semilinear hyperbolic equation; bounded solution; a priori estimate; energy},
language = {eng},
number = {4},
pages = {713-719},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on bounded solutions of a semilinear dissipative hyperbolic equation},
url = {http://eudml.org/doc/17782},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Kopáčková, Marie
TI - Remarks on bounded solutions of a semilinear dissipative hyperbolic equation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 713
EP - 719
LA - eng
KW - semilinear hyperbolic equation; bounded solution; a priori estimate; energy
UR - http://eudml.org/doc/17782
ER -

References

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  1. A. Haraux, Two remarks on hyperbolic dissipative problems., (Nonlinear part. diff. equations and their appl., College de France seminar, vol. 7, Editors: H. Brezis, J. L. Lions. Zbl0579.35057
  2. A. Haraux E. Zuazua, Decay estimates for some semilinear damped hyperbolic problems, Archive Rat. Mech. Anal. 150 (1988), 191-206. (1988) MR0913963
  3. A. Haraux, Nonlinear Evolution Equations - Global Behavior of Solutions, (Lecture Notes in Math. 841, Springer-Verlag Berlin, Heidelberg, New York 1981. (1981) Zbl0461.35002MR0610796
  4. A. Haraux, Semilinear hyperbolic problems in bounded domain., (Math. Reports., J. Dieudon ne' Editor, Harwook Acad. Publ., Gordon & Breach). 
  5. G. Prouse, Soluzioni quasi periodiche delle equazione delle onde con termine dissipativo non lineare, I-IV, (Rend. Acad. Naz. Lincei 38, 39 (1965)). (1965) 
  6. J. L. Lions W. A. Strauss, Some non-linear evolution equations, Bull. Soc. Math. France 93 (1965), 43-96. (1965) MR0199519

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