×
Russell, David L.

A unified boundary controllability theory for hyperbolic and parabolic partial differential equations. (English) Zbl 0274.35041

Studies appl. Math. 52, 189-211 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0274.35041

Cited in 6 Reviews
Cited in 115 Documents

MSC:

35L05 Wave equation
35K05 Heat equation
93C20 Control/observation systems governed by partial differential equations
PDF BibTeX XML Cite
\textit{D. L. Russell}, Stud. Appl. Math. 52, 189--211 (1973; Zbl 0274.35041)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Agmon, Lectures on Elliptic Boundary Value Problems (1965)
[2] Courant, Methods of Mathematical Physics, Vol. II, Partial Differential Equations (1962) · Zbl 0099.29504
[3] Fattorini, Exact controllability theorems for linear parabolic equations in one space dimension, Archive Rat. Mech. Anal. 4 pp 272– (1971)
[6] John, On linear partial differential equations with analytic coefficients-Unique continuation of data, Comm. Pur. Appl. Math. 2 pp 209– (1949) · Zbl 0035.34601
[7] Gal’chuk, Optimal control of systems described by parabolic equations, Vest. Mosk. Univ., Mat., Mekh. 3 pp 21– (1968)
[8] Garabedian, Partial Differential Equations (1964)
[9] Graham, On boundary value control of distributed hyperbolic systems (1973)
[10] Grainger, Boundary-value control of distributed systems characterized by hyperbolic differential equations (1969)
[11] Herget, On the controllability of distributed parameter systems, Int. J. Control 11 pp 827– (1970) · Zbl 0194.45704
[12] Kaczmarz, Theorie der Orthogonalreihen, Monografje Matematyczne (1935)
[13] Levinson, Gap and Density Theorems, Amer. Math. Soc. Colloq. Publ. 26 (1940)
[14] Lions, Problèmes aux limites non-homogènes et applications 1 (1968) · Zbl 0235.65074
[15] Lions, Problèmes aux limites non-homogènes et applications 2 (1968) · Zbl 0235.65074
[17] Paley, Fourier Transforms in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 19 (1934) · Zbl 0011.01601
[18] Redheffer, Elementary remarks on completeness, Duke Math. Jour. 35 pp 103– (1968) · Zbl 0195.42502
[19] Russell, Mathematical Theory of Control (1967)
[20] Russell, Nonharmonic Fourier series in the control theory of distributed parameter systems, J. Math. Anal. Appl. 18 (3) pp 542– (1967) · Zbl 0158.10201
[21] Russell, Boundary value control of the higher dimensional wave equation, SIAM Journal on Control 9 pp 29– (1971) · Zbl 0216.55501
[22] Russell, Part II, Ibid. 9 pp 401– (1971)
[23] Russell, Control theory of hyperbolic equations related to certain questions in harmonic analysis and spectral theory, J. Math. Anal. Appl. 40 pp 336– (1972) · Zbl 0244.93025
[24] Schwartz, Etude des sommes d’exponentielles (1959)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.