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Zero-order perturbations of the subelliptic Laplacian on the Heisenberg group and their uniqueness properties
Author(s):
Nicola
Garofalo;
Ermanno
Lanconelli
Journal:
Bull. Amer. Math. Soc.
23
(1990),
501-511.
MSC (1985):
Primary 35B45, 35B60, 35H05, 22E30
MathSciNet review:
1039424
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References:
- [A] F. T. Almgren, Jr., Dirichlet's problem for multiple valued functions and the regularity of mass minimizing integral currents, Minimal Submani-folds and Geodesics (M. Obata, ed.), North-Holland, Amsterdam, 1979, pp. 1-6.
- [Ba] H. Bahouri, Non prolongement unique des solutions d'operateurs "Somme de Carrés", Ann. Inst. Fourier (Grenoble) 36 (4) (1986), 137-155. MR 867918
- [B] J. M. Bony, Principe du maximum, inéqalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés, Ann. Inst. Fourier (Grenoble) 19 (1) (1969), 277-304. MR 262881
- [Fe] H. Federer, Geometric measure theory, Grundlehren Math. Wiss., vol. 153, Springer-Verlag, Berlin, 1969.
- [F] G. B. Folland, A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79 (2) (1973), 373-376. MR 315267
- [FS] G. B. Folland and E. M. Stein, Hardy spaces on homogeneous groups, Math. Notes, Princeton Univ. Press, Princeton, N. J., 1982. MR 657581
- [GL1] N. Garofalo and F. H. Lin, Monotonicity properties of variational integrals, A, Indiana Univ. Math. J. 35 (2) (1986), 245-268. MR 833393
- [GL2] N. Garofalo and F. H. Lin, Unique continuation for elliptic operators: A geometric-variational approach, Comm. Pure Appl. Math. XL (1987), 347-366. MR 882069
- [G] B. Gaveau, Principe de moindre actions, propagation de la chaleur et estimées sous elliptíques sur certains groups nilpotents, Acta Math. 139 (1977), 95-153. MR 461589
- [He] W. Heisenberg, The physical principles of the quantum theory, Dover, 1949.
- [S] E. M. Stein, Some problems in harmonic analysis suggested by symmetric spaces and semi-simple groups, Actes, Congrés intern, math., Nice, 1 (1970), 173-189. MR 578903
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15963-4
PII:
S 0273-0979(1990)15963-4
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