Weighted estimates for differential operators with operator-valued coefficients

W.O. Amrein; A. M. Boutet de Monvel-Berthier; V. Georgescu

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 291-307
  • ISSN: 0037-9484

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Amrein, W.O., Boutet de Monvel-Berthier, A. M., and Georgescu, V.. "Weighted estimates for differential operators with operator-valued coefficients." Bulletin de la Société Mathématique de France 115 (1987): 291-307. <http://eudml.org/doc/87534>.

@article{Amrein1987,
author = {Amrein, W.O., Boutet de Monvel-Berthier, A. M., Georgescu, V.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {differential operators; weighted estimates},
language = {eng},
pages = {291-307},
publisher = {Société mathématique de France},
title = {Weighted estimates for differential operators with operator-valued coefficients},
url = {http://eudml.org/doc/87534},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Amrein, W.O.
AU - Boutet de Monvel-Berthier, A. M.
AU - Georgescu, V.
TI - Weighted estimates for differential operators with operator-valued coefficients
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 291
EP - 307
LA - eng
KW - differential operators; weighted estimates
UR - http://eudml.org/doc/87534
ER -

References

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  1. [1] AGMON (S.), Lectures on Exponential Decay of Solutions of Second Order Elliptic Equations, Princeton Univ. Press, 1982. Zbl0503.35001
  2. [2] AMREIN (W. O.), BOUTET DE MONVEL-BERTHIER (A. M.) and GEORGESCU (V.), Hardy Type Inequalities for Abstract Differential Operators, Mem. Am. Math. Soc., 375 (1987). 479, 1985 and to appear in Menoirs of A.M.S. (1987). Zbl0633.35009
  3. [3] EIDUS (D. M.), The Principle of Limit Amplitude, Usp. Math. Nauk, Vol. 24, 1969, pp. 31-156. Zbl0197.08102MR58 #29156
  4. [4] FROESE (R.), HERBST (I.), HOFFMANN-OSTENHOF (M.), and HOFFMANN-OSTENHOF (T.), L2-Exponential Lower Bounds to Solutions of the Schrödinger Equation, Comm. Math. Phys., Vol. 87, 1982, pp. 265-286 Zbl0514.35024MR84c:35034
  5. [5] FROESE (R.), HERBST (I.), HOFFMANN-OSTENHOF (M.) and HOFFMANN-OSTENHOF (T.), On the Absence of Positive Eigenvalues for One-Body Schrödinger Operators, J d'Anal. Math., Vol. 41, 1982, pp. 272-284. Zbl0512.35062MR85b:35038
  6. [6] HARDY (G. H.), LITTLEWOOD (J. E.) and POLYA (G.), Inequalities, Cambridge Univ. Press, 1952. Zbl0047.05302MR13,727e
  7. [7] MOCHIZUKI (K.), Growth Properties of Solutions of Second Order Elliptic Differential Equations, J. Math. Kyoto, Vol. 16, 1976, pp. 351-373. Zbl0407.35031MR54 #5603
  8. [8] ROZE (S. N.), On the Spectrum of an Elliptic Operator of Second Order, Mat. Sbornik, Vol. 80, 1969, pp. 183-197 (English translation). Zbl0199.42603MR40 #6090

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