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Volumn 211, Issue 1, 1997, Pages 84-105

Abstract Schroedinger-type differential equations with variable domain

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031172961     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5422     Document Type: Article
Times cited : (11)

References (24)
  • 1
    • 0000822781 scopus 로고
    • Abstract linear hyperbolic equations with variable domain
    • 1. A. Arosio, Abstract linear hyperbolic equations with variable domain, Ann. Mat. Pura Appl. (4) 135 (1983), 173-218.
    • (1983) Ann. Mat. Pura Appl. (4) , vol.135 , pp. 173-218
    • Arosio, A.1
  • 2
    • 0021306705 scopus 로고
    • Linear second order differential equations in Hilbert spaces: The Cauchy problem and asymptotic behaviour for large time
    • 2. A. Arosio, Linear second order differential equations in Hilbert spaces: The Cauchy problem and asymptotic behaviour for large time, Arch. Rational Mech. Anal. 86 (1984), 147-180.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 147-180
    • Arosio, A.1
  • 3
    • 0000223804 scopus 로고
    • Sulle equazioni differenziali astratte lineari del primo e del secondo ordine in spazi di Hilbert
    • 3. C. Baiocchi, Sulle equazioni differenziali astratte lineari del primo e del secondo ordine in spazi di Hilbert, Ann. Mat. Pura Appl. (4) 76 (1967), 233-304.
    • (1967) Ann. Mat. Pura Appl. (4) , vol.76 , pp. 233-304
    • Baiocchi, C.1
  • 4
    • 0011003919 scopus 로고
    • A nonlinear wave equation in a time dependent domain
    • 4. C. Bardos and J. Cooper, A nonlinear wave equation in a time dependent domain, J. Math. Anal. Appl. 42 (1973), 29-60.
    • (1973) J. Math. Anal. Appl. , vol.42 , pp. 29-60
    • Bardos, C.1    Cooper, J.2
  • 5
    • 0001386454 scopus 로고
    • Sulla regolarità delle soluzioni di equazioni differenziali lineari astratte del primo ordine in domini variabili
    • 5. M. L. Bernardi, Sulla regolarità delle soluzioni di equazioni differenziali lineari astratte del primo ordine in domini variabili, Boll. Un. Mat. Ital. 10 (1974), 182-201.
    • (1974) Boll. Un. Mat. Ital. , vol.10 , pp. 182-201
    • Bernardi, M.L.1
  • 6
    • 85030012622 scopus 로고    scopus 로고
    • On some abstract variable domain hyperbolic differential equations
    • in press
    • 6. M. L. Bernardi, G. Bonfanti, and F. Luterotti, On some abstract variable domain hyperbolic differential equations, Ann. Mak. Pura Appl., in press.
    • Ann. Mak. Pura Appl.
    • Bernardi, M.L.1    Bonfanti, G.2    Luterotti, F.3
  • 7
    • 0011051846 scopus 로고
    • Alcune osservazioni sugli operatori di proiezione in spazi di Hilbert
    • 7. M. L. Bernardi and F. Brezzi, Alcune osservazioni sugli operatori di proiezione in spazi di Hilbert, Boll. Un. Mat. Ital. 9 (1974), 495-512.
    • (1974) Boll. Un. Mat. Ital. , vol.9 , pp. 495-512
    • Bernardi, M.L.1    Brezzi, F.2
  • 10
    • 0010999421 scopus 로고
    • Existence theorems for some weak abstract variable domain hyperbolic problems
    • 10. R. W. Carroll and E. State, Existence theorems for some weak abstract variable domain hyperbolic problems, Canad. J. Math. 23 (1971), 611-626.
    • (1971) Canad. J. Math. , vol.23 , pp. 611-626
    • Carroll, R.W.1    State, E.2
  • 11
    • 0011007666 scopus 로고
    • Weak solutions for linear abstract differential equations in Banach spaces
    • 11. G. Da Prato, Weak solutions for linear abstract differential equations in Banach spaces, Adv. Math. 5 (1970), 181-245.
    • (1970) Adv. Math. , vol.5 , pp. 181-245
    • Da Prato, G.1
  • 12
    • 0025549121 scopus 로고
    • Existence and optimal control for wave equation in moving domain
    • "Stabilization of Flexible Structures,", Springer-Verlag, Berlin
    • 12. G. Da Prato and J. P. Zolésio, Existence and optimal control for wave equation in moving domain, in "Stabilization of Flexible Structures," pp. 167-190, Lecture Notes in Control and Inform. Sci., Vol. 147, Springer-Verlag, Berlin, 1990.
    • (1990) Lecture Notes in Control and Inform. Sci. , vol.147 , pp. 167-190
    • Da Prato, G.1    Zolésio, J.P.2
  • 13
    • 0016893666 scopus 로고
    • Variable domain second order evolution equations
    • 13. J. A. Goldstein, Variable domain second order evolution equations, Appl. Anal. 5 (1976), 283-291.
    • (1976) Appl. Anal. , vol.5 , pp. 283-291
    • Goldstein, J.A.1
  • 14
    • 0010996399 scopus 로고
    • 3 = f dans un domaine noncylindrique
    • 3 = f dans un domaine noncylindrique, J. Math. Anal. Appl. 46 (1974), 777-819.
    • (1974) J. Math. Anal. Appl. , vol.46 , pp. 777-819
    • Inoue, A.1
  • 15
    • 0003862232 scopus 로고
    • "Perturbation theory for linear operators," 2nd Ed.
    • Springer-Verlag, Berlin
    • 15. T. Kato, "Perturbation Theory for Linear Operators," 2nd ed., Grundlehren, Vol. 132, Springer-Verlag, Berlin, 1976.
    • (1976) Grundlehren , vol.132
    • Kato, T.1
  • 17
    • 4544270223 scopus 로고
    • Equations différentielles opérationnelles et problèmes aux limites
    • Springer-Verlag, Berlin
    • 17. J. L. Lions, "Equations différentielles opérationnelles et problèmes aux limites," Grundlehren, Vol. 111, Springer-Verlag, Berlin, 1961.
    • (1961) Grundlehren , vol.111
    • Lions, J.L.1
  • 18
    • 0011033176 scopus 로고
    • Une remarque sur les problèmes d'évolution nonlinéaires dans les domaines non cylindriques
    • 18. J. L. Lions, Une remarque sur les problèmes d'évolution nonlinéaires dans les domaines non cylindriques, Rev. Roumaine Math. Pures Appl. 9 (1964), 11-18.
    • (1964) Rev. Roumaine Math. Pures Appl. , vol.9 , pp. 11-18
    • Lions, J.L.1
  • 19
    • 0003212878 scopus 로고
    • Non-homogeneous boundary value problems and applications
    • Springer-Verlag, Berlin
    • 19. J. L. Lions and E. Magenes, "Non-homogeneous Boundary Value Problems and Applications," Vol. I, Grundlehren, Vol. 181, Springer-Verlag, Berlin, 1972.
    • (1972) Grundlehren , vol.1-181
    • Lions, J.L.1    Magenes, E.2
  • 20
    • 0001313406 scopus 로고
    • Contrôlabilité exacte de l'équation de Schroedinger dans des domaines non cylindriques
    • 20. L. A. Medeiros and M. Milla Miranda, Contrôlabilité exacte de l'équation de Schroedinger dans des domaines non cylindriques, C. R. Acad. Sci. Paris 319 (1994), 685-689.
    • (1994) C. R. Acad. Sci. Paris , vol.319 , pp. 685-689
    • Medeiros, L.A.1    Milla Miranda, M.2
  • 21
    • 0000903497 scopus 로고
    • Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari
    • Parte Prima
    • 21. G. A. Pozzi, Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari, Parte Prima, Ann. Mat. Pura Appl. (4) 78 (1968), 197-258.
    • (1968) Ann. Mat. Pura Appl. (4) , vol.78 , pp. 197-258
    • Pozzi, G.A.1
  • 22
    • 0010962378 scopus 로고
    • Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari
    • Parte Seconda
    • 22. G. A. Pozzi, Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari, Parte Seconda, Ann. Mat. Pura Appl. (4) 81 (1969), 205-248.
    • (1969) Ann. Mat. Pura Appl. (4) , vol.81 , pp. 205-248
    • Pozzi, G.A.1
  • 23
    • 85030009866 scopus 로고    scopus 로고
    • Parabolic problems with mixed variable lateral conditions: An abstract approach
    • in press
    • 23. G. Savaré, Parabolic problems with mixed variable lateral conditions: An abstract approach, J. Math. Pures Appl., in press.
    • J. Math. Pures Appl.
    • Savaré, G.1
  • 24
    • 0011007667 scopus 로고
    • A linear wave equation in a time-dependent domain
    • 24. J. Sikorav, A linear wave equation in a time-dependent domain, J. Math. Anal. Appl. 153 (1990), 533-548.
    • (1990) J. Math. Anal. Appl. , vol.153 , pp. 533-548
    • Sikorav, J.1


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