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Volumn 242, Issue 2, 2000, Pages 271-283

A Class of Globally Controllable Semilinear Heat Equations with Superlinear Terms

Author keywords

Asymptotic analysis; Global approximate controllability; Locally distributed controls; Semilinear heat equation

Indexed keywords


EID: 0001465236     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6669     Document Type: Article
Times cited : (7)

References (12)
  • 1
    • 84971109212 scopus 로고
    • Approximate controllability for the semilinear heat equations
    • Fabre C., Puel J.-P., Zuazua E. Approximate controllability for the semilinear heat equations. Proc. Roy. Soc. Edinburgh Sect. 125:1995;31-61.
    • (1995) Proc. Roy. Soc. Edinburgh Sect. , vol.125 , pp. 31-61
    • Fabre, C.1    Puel, J.-P.2    Zuazua, E.3
  • 2
    • 0016050820 scopus 로고
    • Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
    • Fattorini H. O., Russell D. L. Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations. Quart. Appl. Math. April:1974;45-69.
    • (1974) Quart. Appl. Math. , pp. 45-69
    • Fattorini, H.O.1    Russell, D.L.2
  • 5
    • 0003252621 scopus 로고    scopus 로고
    • Controllability of Evolution Equations
    • Seoul National UniversityRes. Inst. Math., GARC
    • Fursikov A., Imanuvilov O. Controllability of Evolution Equations. Lecture Note Series. 34:1996;Seoul National UniversityRes. Inst. Math., GARC.
    • (1996) Lecture Note Series , vol.34
    • Fursikov, A.1    Imanuvilov, O.2
  • 6
    • 0000692268 scopus 로고
    • Some aspects of the asymptotic behavior of the solutions of the semilinear heat equation and approximate controllability
    • Khapalov A. Y. Some aspects of the asymptotic behavior of the solutions of the semilinear heat equation and approximate controllability. J. Math. Anal. Appl. 194:1995;858-882.
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 858-882
    • Khapalov, A.Y.1
  • 7
    • 0033276588 scopus 로고    scopus 로고
    • Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls
    • Khapalov A. Y. Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls. ESAIM: COCV. 4:1999.
    • (1999) ESAIM: COCV , vol.4
    • Khapalov, A.Y.1
  • 8
    • 0346865263 scopus 로고    scopus 로고
    • Global approximate controllability properties for the semilinear heat equation with superlinear term
    • to appear
    • A. Y. Khapalov, Global approximate controllability properties for the semilinear heat equation with superlinear term, Rev. Mat. Complutense, to appear.
    • Rev. Mat. Complutense
    • Khapalov, A.Y.1
  • 11
    • 0347742886 scopus 로고    scopus 로고
    • The cost of controlling unstable systems: Time irreversible systems
    • Lions J.-L., Zuazua E. The cost of controlling unstable systems: Time irreversible systems. Rev. Mat. Complutense. 10:1997;481-523.
    • (1997) Rev. Mat. Complutense , vol.10 , pp. 481-523
    • Lions, J.-L.1    Zuazua, E.2
  • 12
    • 84966209129 scopus 로고
    • Entire functions and Müntz-Szász type approximation
    • Luxemburg W. A. J., Korevaar J. Entire functions and Müntz-Szász type approximation. Trans. Amer. Math. Soc. 157:1971;23-37.
    • (1971) Trans. Amer. Math. Soc. , vol.157 , pp. 23-37
    • Luxemburg, W.A.J.1    Korevaar, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.