Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Energy splitting for solutions of multi-dimensional isotropic symmetric hyperbolic systems


Author: Thomas C. Sideris
Journal: Quart. Appl. Math. 68 (2010), 169-178
MSC (2000): Primary 35L45
DOI: https://doi.org/10.1090/S0033-569X-09-01151-3
Published electronically: October 28, 2009
MathSciNet review: 2598889
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Alinhac, S. Remarks on energy inequalities for wave and Maxwell equations on a curved background. Math. Ann. 329 4 (2004), 707-722. MR 2076683 (2005f:58047)
  • 2. Bachelot, A. Équipartition de l'énergie pour les systèmes hyperboliques et formes compatibles. Ann. Inst. H. Poincaré Phys. Théor. 46 1 (1987), 45-76. MR 877995 (88a:35144)
  • 3. Costa, D.G. and Strauss, W.A. Energy splitting. Quart. Appl. Math. 39 3 (1981/82), 351-361. MR 636240 (83d:35090)
  • 4. Costa, D.G. On partition of energy for uniformly propagative systems. J. Math. Anal. Appl. 58 1 (1977), 56-62. MR 0470505 (57:10256)
  • 5. Christodoulou, D. and Klainerman, S. Asymptotic properties of linear field equations in Minkowski space. Comm. Pure Appl. Math. 43 2 (1990), 137-199. MR 1038141 (91a:58202)
  • 6. Dassios, G. and Galanis, E. Asymptotic equipartition of kinetic and strain energy for elastic waves in anisotropic media. Quart. Appl. Math. 38 1 (1980/81), 121-128. MR 575835 (81e:73029)
  • 7. Dassios, G. and Grillakis, M. Equipartition of energy for anisotropic elastic waves. J. Differential Equations 51 3 (1984), 408-418. MR 735206 (85e:73016)
  • 8. Glassey, R.T. and Strauss, W.A. Decay of classical Yang-Mills fields. Comm. Math. Phys. 65 1 (1979), 1-13. MR 526974 (80c:81064)
  • 9. Sideris, T.C. and Thomases, B. Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems. J. Hyperbolic Differ. Equ. 3 4 (2005), 673-690. MR 2289610 (2007k:35306)
  • 10. Strichartz, R.S. Asymptotic behavior of waves. J. Funct. Anal. 40 3 (1981), 341-357. MR 611588 (82j:35020)
  • 11. Wilcox, C. Asymptotic wave functions and energy distributions in strongly propagative anisotropic media. J. Math. Pures Appl. 57 3 (1978), 275-321. MR 513101 (80j:35082)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 35L45

Retrieve articles in all journals with MSC (2000): 35L45


Additional Information

Thomas C. Sideris
Affiliation: Department of Mathematics, University of California, Santa Barbara, CA 93106

DOI: https://doi.org/10.1090/S0033-569X-09-01151-3
Received by editor(s): October 8, 2008
Published electronically: October 28, 2009
Additional Notes: This research was partially sponsored by the National Science Foundation.
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society