Minimal periods for solutions of some classical field equations

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 4, 1996, Pages 1095-1101

  Stuart, D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Breathers; Minimal period; Nonlinear wave equations; Period solutions

Indexed keywords

EID: 0030544880     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094274185     Document Type: Article

References (9)

1. B. BIRNIR, H. MCKEAN, AND A. WEINSTEIN, Nonexistence of breathers, Comm. Pure Appl. Math., 47 (1994), pp. 1043-1053.
2. J-M. CORON, Periode minimale pour une corde vibrante de longuer infinie, Comptes Rendues Acad. Sci. Paris, A294 (1982), pp. 127-129.
3. J. DENZLER, Nonpersistence of breather families for the perturbed sine-Gordon equation, Comm. Math. Phys., 158 (1993), pp. 397-430.
4. H. BERESTYCKI AND P-L. LIONS, Nonlinear scalar field equations, parts one and two, Arch. Rational Mech. Anal., 82 (1983), pp. 313-375.
5. L. V. KAPITANSKII, Absence of time-periodic solutions for certain multidimensional nonlinear wave equations, J. Soviet Math., 40 (1988), pp. 622-629.
6. T. KATO, Growth properties of solutions to the reduced wave equation with variable coefficients, Comm. Pure Appl. Math., 12 (1959), pp. 403-425.
7. H. LEVINE, Minimal periods for solutions of semilinear wave equations in exterior domains and for solutions of the equations of nonlinear elasticity, J. Math. Anal. Appl., 135 (1988), pp. 297-308.
8. S. NOVIKOV, S. V. MANAKOV, L. P. PITAEVSKII, AND V. E. ZAKHAROV, Theory of Solitons, Consultants Bureau, New York, 1984.
9. 3, J. Reine Angew. Math., 398 (1989), pp. 25-35.