On the regularity of boundary traces for the wave equation

Daniel Tataru

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 26, Issue: 1, page 185-206
  • ISSN: 0391-173X

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Tataru, Daniel. "On the regularity of boundary traces for the wave equation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.1 (1998): 185-206. <http://eudml.org/doc/84320>.

@article{Tataru1998,
author = {Tataru, Daniel},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {space-like hypersurface; time-like hypersurface; boundary controllability},
language = {eng},
number = {1},
pages = {185-206},
publisher = {Scuola normale superiore},
title = {On the regularity of boundary traces for the wave equation},
url = {http://eudml.org/doc/84320},
volume = {26},
year = {1998},
}

TY - JOUR
AU - Tataru, Daniel
TI - On the regularity of boundary traces for the wave equation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 26
IS - 1
SP - 185
EP - 206
LA - eng
KW - space-like hypersurface; time-like hypersurface; boundary controllability
UR - http://eudml.org/doc/84320
ER -

References

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  1. [1] R. Beals, C. Fefferman, Spatially inhomogeneous pseudo-differential operators, Comm. Pure Appl. Math.27 (1974), 1-24. Zbl0279.35071
  2. [2] G.I. Eskin, personal communication. 
  3. [3] A. Greenleaf, A. Seeger, Fourier integral operators with fold singularities, J. Reine Angew. Math.455 (1994), 35-56. Zbl0799.42008MR1293873
  4. [4] L. Hörmander, "The Analysis of Linear Partial Differential Operators" I-IV, Springer Verlag, 1983 -85. Zbl0521.35001
  5. [5] I. Lasiecka, R. Tricgiani, Sharp regularity theory for second order hyperbolic equations of Neuman type, Ann. Mat. Pura Appl. (IV) 157 (1990), 285-367. Zbl0742.35015MR1108480
  6. [6] I. Lasiecka, R. Triggiani, Exact controllability of the wave equation with Neuman boundary control, Appl. Math. Optim.19 (1989), 243-290. Zbl0666.49012MR974187
  7. [7] J.L. Lions, E. Magenes, "Problemes aux limites non homogenes et applications", II, Dunod, Paris, 1970. Zbl0197.06701MR291887
  8. [8] W. Littman, Near optimal time boundary controlability for a class of hyperbolic equations, Springer-VerlagLecture Notes LNCIS 97 (1987), 307-312. Zbl0629.49002MR910526
  9. [9] R.B. Melrose, J. Sjöstrand, Singularities of Boundary Value Problems I-II, Comm. Pure Applied Math.31 (1978), 593-617 and 35 (1982), 129-168. Zbl0368.35020MR492794
  10. [10] D. Tataru, The Xsθ spaces and unique continuation for solutions to the semilinear wave equation, Comm. Partial Differential Equations21 (1996), 841-887. Zbl0853.35017
  11. [11] M.E. Taylor, "Pseudodifferential Operators", Princeton Univ. Press, 1981. Zbl0453.47026MR618463

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