Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients

Walter Littman

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 3, page 567-580
  • ISSN: 0391-173X

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Littman, Walter. "Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.3 (1978): 567-580. <http://eudml.org/doc/83792>.

@article{Littman1978,
author = {Littman, Walter},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Control Theory; Hyperbolic Equations; Parabolic Equations},
language = {eng},
number = {3},
pages = {567-580},
publisher = {Scuola normale superiore},
title = {Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients},
url = {http://eudml.org/doc/83792},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Littman, Walter
TI - Boundary control theory for hyperbolic and parabolic partial differential equations with constant coefficients
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 3
SP - 567
EP - 580
LA - eng
KW - Control Theory; Hyperbolic Equations; Parabolic Equations
UR - http://eudml.org/doc/83792
ER -

References

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  1. [1] L. Ehrenpreis, Fourier analysis in several complex variables, New York, N. Y. (1970). Zbl0195.10401MR285849
  2. [2] H.O. Fattorini - D.L. Russell, Exact controllability theorems for linear parabolic equations in one space dimension, Archive Rat. Mech. Anal., 4 (1971), pp. 272-292. Zbl0231.93003MR335014
  3. [3] A. Friedman, Generalized functions and partial differential equations, Englewood Cliffs, N. J. (1963). Zbl0116.07002MR165388
  4. [4] I.M. Gelfand - G.E. Shilov, Generalized Functions, vol. 3, Moscow (1958). 
  5. [5] E. Holmgren, Sur l'équation de la propagation de la chaleur, Ark. Mat. Astr. Physik, 4 (1908), pp. 1-4. Zbl39.0977.02JFM39.0977.01
  6. [6] L. Hörmander, Linear partial differential operators, Academic Press Inc., New York, N. Y. (1963). Zbl0108.09301MR248435
  7. [7] B.F. JonesJr., A fundamental solution for the heat equation which is supported in a strip, J. Math. Analysis and Applications, 60 (1977), pp. 314-324. Zbl0357.35043MR450777
  8. [8] D. Ludwig, The Radon transform on Euclidean spaces, Communications in Pure and Applied Math., 19 (1966), pp. 49-81. Zbl0134.11305MR190652
  9. [9] D.L. Russell, A unified boundary controllability theory for hyperbolic and parabolic equations, Studies in Applied Math., 52 (1973), pp. 189-211. Zbl0274.35041MR341256
  10. [10] T. Seidman, Boundary observation and control for the heat equation: Differential games and control theory, Marcel Dekker, New York, N. Y. (1974), pp. 321-351. MR417898

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