Regularity theorems for fractional powers of a linear elliptic operator

 Access to full text

 Full (PDF)

1. [1] BERGENDAL (G.). — On spectral functions belonging to an elliptic differential operator with variable coefficients, Math. Scand., t. 5, 1957, p. 241-254. Zbl0080.30701MR20 #1830
2. [2] BERGENDAL (G.). — Convergence and summability of eigenfunction expansions connected with elliptic differential operators, Medd. Lunds Univ. Mat. Sem., t. 15, 1959. Zbl0093.06901MR21 #4287
3. [3] BOCHNER (S.). — Zeta functions and Green's functions for linear partial differential operators of elliptic type with constant coefficients, Annals of Math., Series 2, t. 57, 1953, p. 32-56. Zbl0050.08001MR14,986d
4. [4] BROWDER (Felix E.). — The eigenfunction expansion theorem for the general self-adjoint singular elliptic partial differential operator, I : The analytic foundation, Proc. Nat. Acad. Sc. U. S. A., t. 40, 1954, p. 454-459. Zbl0055.34302
5. [5] BROWDER (Felix E.). — Eigenfunction expansions for singular elliptic operators, II : The Hilbert space argument, parabolic equations on open manifolds, Proc. Nat. Acad. Sc. U. S. A., t. 40, 1954, p. 459-463. Zbl0055.34302MR16,134d
6. [6] EIDELMAN (S. D.). — On fundamental solutions of parabolic systems [in russian], Mat. Sbornik, t. 38, (80), 1956, p. 51-92. Zbl0070.09305MR17,857a
7. [7] FRIEDRICHS (K. O.). — On the differentiability of the solutions of the linear elliptic differential equations, Comm. pure and appl. Math., t. 6, 1953, p. 299-326. Zbl0051.32703MR15,430c
8. [8] GÅRDING (L.). — On the asymptotic properties of the spectral function belonging to a self-adjoint semi-bounded extension of an elliptic differential operator, Kungl. Fysiogr. Sallsk. Lund Forh., t. 24, 1954, n° 21, p. 1-18. Zbl0058.08802MR17,158d
9. [9] GÅRDING (L.). — Dirichlet's problem for linear elliptic partial differential equations, Math. Scand., t. 1, 1953, p. 55-72. Zbl0053.39101MR16,366a
10. [10] KOTAKE (T.) and NARASIMHAN (M. S.). — Sur la régularité de certains noyaux associés à un opérateur elliptique, C. R. Acad. Sc. Paris, t. 252, 1961, p. 1549-1550. Zbl0097.30502MR23 #A3370
11. [11] LIONS (J.-L.). — Lectures on elliptic partial differential equations. — Bombay, Tata Institute of fundamental Research, 1957. Zbl0253.35001
12. [12] MINAKSHISUNDARAM (S.). — A generalization of Epstein zeta functions, Canadian J. Math., t. 1, 1947, p. 320-327. Zbl0034.05103MR11,357c
13. [13] MORREY Jr (C. B.) and NIRENBERG (L). — On the analyticity of the solutions of linear elliptic systems of partial differential equations, Comm. pure and appl. Math., t. 10, 1957, p. 271-290. Zbl0082.09402MR19,654b
14. [14] NELSON (Edward). — Analytic vectors, Annals of Math., t. 70, 1959, p. 572-615. Zbl0091.10704MR21 #5901
15. [15] NIRENBERG (Louis). — Remarks on strongly elliptic partial differential equations, Comm. pure and appl. Math., t. 8, 1955, p. 648-674. Zbl0067.07602MR17,742d
16. [16] RIESZ (F.) and NAGY (Béla, Sz). — Leçons d'analyse fonctionnelle, 3e éd. — Paris, Gauthier-Villars ; Budapest, Akademiai Kiodo, 1955. Zbl0064.35404
17. [17] SCHWARTZ (Laurent). — Théorie des distributions, Tome 1, 2e éd. — Paris, Hermann, 1957 (Act. scient. et ind., 1091-1245 ; Publ. Inst. Math. Univ. Strasbourg, 9). Zbl0078.11003
18. [18] SCHWARTZ (Laurent). — Théorie des distributions, Tome 2. — Paris, Hermann, 1951 (Act. scient. et ind., 1122 ; Publ. Inst. Math. Univ. Strasbourg, 10). Zbl0042.11405
19. [19] SCHWARTZ (Laurent). — Théorie des noyaux, Proc. Intern. Congr. Math. [11, 1950. Cambridge (Mass.)] ; p. 220-230. — Providence, American mathematical Society, 1952. Zbl0048.35102
20. [20] STONE (Marshall H.). — Linear transformations in Hilbert space and their applications to analysis. — New York, American mathematical Society, 1932 (American mathematical Society, Colloquim Publicalions, 15). Zbl0005.40003JFM58.0420.02

1. Raoul Bott, Report on the fixed point formula
2. P. Bolley, J. Camus, C. Mattera, Analyticité microlocale et itères d'opérateurs
3. M. Kashiwara, T. Kawai, On the boundary value problem for the elliptic system of linear differential equations
4. Tamar Burak, Fractional powers of elliptic differential operators
5. Guy Patissier, Sur les fonctions d'un opérateur pseudo-différentiel elliptique
6. Serge Alinhac, Caractérisation d'espaces de fonctions analytiques et non quasi-analytiques sur une variété à bord
7. B. Hanouzet, Caractérisation de classes de fonctions $C^{\infty }$ par des itères d’opérateurs elliptiques dégénérés sur des ouverts irréguliers
8. P. Bolley, J. Camus, Powers and Gevrey's Regularity for a System of Differential Operators
9. Pierre Bolley, Jacques Camus, Powers and Gevrey's regularity for a system of differential operators
10. M. S. Baouendi, C. Goulaouic, Problèmes de Cauchy pseudo-différentiels analytiques non linéaires