Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux, II
Serge Alinhac
Source: Duke Math. J. Volume 73, Number 3
(1994), 543-560.
First Page:
Show
Hide
Related Works:
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077289015
Mathematical Reviews number (MathSciNet): MR1262926
Zentralblatt MATH identifier: 0844.35102
Digital Object Identifier: doi:10.1215/S0012-7094-94-07322-5
References
[1] S. Alinhac, Approximation près du temps d'explosion des solutions d'équations d'ondes quasi-linéaires en dimension deux, à paraître a SIAM J. Math. Anal.
[2] S. Alinhac, Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux, I, à paraître à Ann. Sci. École Norm. Sup. (4).
[3] L. Hörmander, The lifespan of classical solutions of nonlinear hyperbolic equations 5, Mittag-Leffler, 1985.
[4] L. Hörmander, Nonlinear hyperbolic differential equations, 1986/87, lectures.
[5] F. John and S. Klainerman, Almost global existence to nonlinear wave equations in three space dimensions, Comm. Pure Appl. Math. 37 (1984), no. 4, 443–455.
Mathematical Reviews (MathSciNet): MR85k:35147
Zentralblatt MATH: 0599.35104
Digital Object Identifier: doi:10.1002/cpa.3160370403
[6] F. John, Blow-up of radial solutions of $u\sb tt=c\sp 2(u\sb t)\Delta u$ in three space dimensions, Mat. Apl. Comput. 4 (1985), no. 1, 3–18.
Mathematical Reviews (MathSciNet): MR87c:35114
Zentralblatt MATH: 0597.35082
[7] F. John, Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small initial data, Comm. Pure Appl. Math. 40 (1987), no. 1, 79–109.
Mathematical Reviews (MathSciNet): MR87m:35128
Zentralblatt MATH: 0662.35070
Digital Object Identifier: doi:10.1002/cpa.3160400104
[8] F. John, Solutions of quasilinear wave equations with small initial data; the third phase, Non Linear Hyperbolic Problems (Bordeaux, 1988), Lecture Notes in Math., vol. 1402, Springer-Verlag, Berlin, 1989, pp. 155–184.
Mathematical Reviews (MathSciNet): MR91e:35132
Zentralblatt MATH: 0694.35012
Digital Object Identifier: doi:10.1007/BFb0083874
[9] S. Klainerman, Weighted $L\sp\infty $ and $L\sp1$ estimates for solutions to the classical wave equation in three space dimensions, Comm. Pure Appl. Math. 37 (1984), no. 2, 269–288.
Mathematical Reviews (MathSciNet): MR85k:35146
Zentralblatt MATH: 0583.35068
Digital Object Identifier: doi:10.1002/cpa.3160370206
[10] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), no. 3, 321–332.
Mathematical Reviews (MathSciNet): MR86i:35091
Zentralblatt MATH: 0635.35059
Digital Object Identifier: doi:10.1002/cpa.3160380305
[11] A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Appl. Math. Sci., vol. 53, Springer-Verlag, New York, 1984.
Mathematical Reviews (MathSciNet): MR85e:35077
Zentralblatt MATH: 0537.76001
Duke Mathematical Journal
