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

Banach Center Publications (1992)

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

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topGeorgiev, 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] 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] 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] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. I, Distribution Theory and Fourier Analysis, Springer, New York 1983. Zbl0521.35001
- [4] L. Hörmander, Non-linear Hyperbolic Differential Equations, Lectures 1986-1987, Lund 1988.
- [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] 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] 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] C. Morawetz, Energy decay for star-shaped obstacles, Appendix 3 in: P. Lax and R. Phillips, Scattering Theory, Academic Press, New York 1967.
- [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] 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

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