Existence of global solution of a nonlinear wave equation with short-range potential

V. Georgiev; K. Ianakiev

Banach Center Publications (1992)

  • Volume: 27, Issue: 1, page 163-167
  • ISSN: 0137-6934

How to cite

top

Georgiev, V., and Ianakiev, K.. "Existence of global solution of a nonlinear wave equation with short-range potential." Banach Center Publications 27.1 (1992): 163-167. <http://eudml.org/doc/262588>.

@article{Georgiev1992,
author = {Georgiev, V., Ianakiev, K.},
journal = {Banach Center Publications},
keywords = {existence of global solution; nonlinear wave equation with short-range potential},
language = {eng},
number = {1},
pages = {163-167},
title = {Existence of global solution of a nonlinear wave equation with short-range potential},
url = {http://eudml.org/doc/262588},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Georgiev, V.
AU - Ianakiev, K.
TI - Existence of global solution of a nonlinear wave equation with short-range potential
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 1
SP - 163
EP - 167
LA - eng
KW - existence of global solution; nonlinear wave equation with short-range potential
UR - http://eudml.org/doc/262588
ER -

References

top
  1. [1] P. Datti, Long time existence of classical solutions to a non-linear wave equation in exterior domains, Ph.D. Dissertation, New York University, 1985. 
  2. [2] P. Godin, Long time behaviour of solutions to some nonlinear rotation invariant mixed problems, Comm. Partial Differential Equations 14 (3) (1989), 299-374. Zbl0676.35065
  3. [3] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. I, Distribution Theory and Fourier Analysis, Springer, New York 1983. Zbl0521.35001
  4. [4] L. Hörmander, Non-linear Hyperbolic Differential Equations, Lectures 1986-1987, Lund 1988. 
  5. [5] F. John, Blow-up for quasi-linear wave equations in three space dimensions, Comm. Pure Appl. Math. 34 (1981), 20-51. Zbl0453.35060
  6. [6] S. Klainerman, The null condition and global existence to nonlinear wave equations, in: Lectures in Appl. Math. 23, Part 1, Amer. Math. Soc., Providence, R.I., 1986, 293-326. 
  7. [7] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332. Zbl0635.35059
  8. [8] C. Morawetz, Energy decay for star-shaped obstacles, Appendix 3 in: P. Lax and R. Phillips, Scattering Theory, Academic Press, New York 1967. 
  9. [9] H. Pecher, Scattering for semilinear wave equations with small initial data in three space dimensions, Math. Z. 198 (1988), 277-288. Zbl0627.35064
  10. [10] Y. Shibata and Y. Tsutsumi, On global existence theorem of small amplitude solutions for nonlinear wave equations in exterior domains, ibid. 191 (1986), 165-199. Zbl0592.35028

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.