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

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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topLittman, 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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- [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] A. Friedman, Generalized functions and partial differential equations, Englewood Cliffs, N. J. (1963). Zbl0116.07002MR165388
- [4] I.M. Gelfand - G.E. Shilov, Generalized Functions, vol. 3, Moscow (1958).
- [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] L. Hörmander, Linear partial differential operators, Academic Press Inc., New York, N. Y. (1963). Zbl0108.09301MR248435
- [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] D. Ludwig, The Radon transform on Euclidean spaces, Communications in Pure and Applied Math., 19 (1966), pp. 49-81. Zbl0134.11305MR190652
- [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] 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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