@article{ASNSP_1985_4_12_3_409_0, author = {Lockhart, Robert B. and Mc Owen, Robert C.}, title = {Elliptic differential operators on noncompact manifolds}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {409--447}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {3}, year = {1985}, zbl = {0615.58048}, mrnumber = {837256}, language = {en}, url = {archive.numdam.org/item/ASNSP_1985_4_12_3_409_0/} }
Lockhart, Robert B.; Mc Owen, Robert C. Elliptic differential operators on noncompact manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 12 (1985) no. 3, pp. 409-447. http://archive.numdam.org/item/ASNSP_1985_4_12_3_409_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations with general boundary conditions II, Comm. Pure Appl. Math., 17 (1964), pp. 35-92. | MR 162050 | Zbl 0123.28706
- - ,[2] Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math., 16 (1963), pp. 121-239. | MR 155203 | Zbl 0117.10001
- ,[3] Elliptic boundary value problems depending on a parameter, Dokl. Akad. Nauk SSSR, 149 (1963), pp. 223-226 = Soviet Math. Dokl., 4 (1963), pp. 325-329. | MR 146529 | Zbl 0145.14701
- ,[4] A general calculus of pseudo differential operators, Duke Math. J., 42 (1975), pp. 1-42. | MR 367730 | Zbl 0343.35078
,[5] 38 (1979), pp. 3-35. | Numdam | MR 523260 | Zbl 0402.58004
, Some problems of global analysis on asymptotically simple manifolds, Compositio Math.,[6] On the spectral geometry of spaces with cone-like singularities, Proc. Nat. Acad. Sci., 76 (1979), pp. 2103-2106. | MR 530173 | Zbl 0411.58003
,[7] L2-cohomology and intersection homology of singular algebraic varieties, Seminar on Differential Geometry (S. T. Yau ed.), Princeton Univ. Press, 1982, Princeton, N. J. | MR 645745 | Zbl 0503.14008
- - ,[8] Elliptic systems in Hs,δ spaces on manifolds which are Euclidean at infinity, Acta Math., 146 (1981), pp. 129-150. | Zbl 0484.58028
- ,[9] Gel'fand theory of pseudo-dif f erential operators, Amer. J. Math., 90 (1968), pp. 681-717. | MR 454743 | Zbl 0169.47105
- ,[10] Interior estimates for elliptic systems of partial differential equations, Comm. Pure Appl. Math., 8 (1955), pp. 503-538. | MR 75417 | Zbl 0066.08002
- ,[11] Pseudo-differential operators and nonelliptic boundary problems, Ann. of Math., 83 (1966), pp. 129-209. | MR 233064 | Zbl 0132.07402
,[12] Algebras of pseudo-differential operators in Lp(Rn), Comm. Partial Diff. Eq., 2 (1977), pp. 359-393. | MR 442758 | Zbl 0352.47021
,[13] Perturbation Theory for Linear Operators, Springer-Verlag, 1966, New York. | MR 203473 | Zbl 0148.12601
,[14] Boundary value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16 (1967). | MR 226187 | Zbl 0194.13405
,[15] Oscillatory integrals of symbols of pseudo-dif f erential operators on Rn, and operators of Fredholm type, Proc. Japan Acad., 49 (1973), pp. 397-402. | MR 355693 | Zbl 0272.47032
,[16] Fredholm properties of a class of elliptic operators on noncompact manifolds, Duke Math. J., 48 (1981), pp. 289-312. | MR 610188 | Zbl 0486.35027
,[17] On elliptic systems in Rn, Acta Math., 150 (1983), pp. 125-135. | MR 697610 | Zbl 0517.35031
- ,[17a] Correction for on elliptic systems in Rn, Acta Math. 153 (1984), pp. 303-304. | MR 766267 | Zbl 0569.35027
- ,[18] Estimates in Lp and Hölder classes and the Miranda-Agmon .Maximum principle for solutions of elliptic boundary problems in domains with singular points on the boundary (in Russian), Math. Nachr., 81 (1978), pp. 25-82. | MR 492821 | Zbl 0371.35018
- ,[19] Behavior of the Laplacian on weighted Sobolev spaces, Comm. Pure Appl. Math., 32 (1979), pp. 783-795. | MR 539158 | Zbl 0426.35029
,[20] Boundary value problems for the Laplacian in an exterior domain, Comm. Partial Diff. Eq., 6 (1981), pp. 783-798. | MR 623645 | Zbl 0473.35036
,[21] Fredholm theory of partial differential equations on complete Riemannian manifolds, Pacific J. Math., 87 (1980), pp. 169-185. | MR 590874 | Zbl 0457.35084
,[22] On elliptic operators in Rn, Comm. Partial Diff. Eq., 5 (1980), pp. 913-933. | MR 584101 | Zbl 0448.35042
,[23] Elliptic operators of totally characteristic type, preprint.
- ,[24] The nullspaces of elliptic partial differential operators in Rn, J. Math. Anal. Appl., 42 (1973), pp. 271-301. | MR 320821 | Zbl 0272.35029
- ,[25] Pseudo- differential operators on a class of noncompact manifolds, Math. USSR-Sb., 18 (1972), pp. 45-59. | Zbl 0257.58009
RABINOVIč,[26] Varieties Differentiables, 3rd ed., Hermann, Paris, 1973. | Zbl 0284.58001
,[27] Singular integrals and boundary value problems, Amer. J. Math., 88 (1966), pp. 781-809. | MR 209915 | Zbl 0178.17601
,[28] Elliptic equations in Rn, Differential Equations, 11 (1975), pp. 375-379. | MR 377270 | Zbl 0331.35021
- ,