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Table des matières de ce fascicule | Article précédent | Article suivant Davies, E. Brian Heat kernel bounds for higher order elliptic operators. Journées équations aux dérivées partielles (1995), Art. No. 3, 11 p. Texte intégral djvu | pdf | Analyses MR 96i:35020 | Zbl 0994.58011 URL stable: http://www.numdam.org/item?id=JEDP_1995____A3_0 Bibliographie Aro Aronson D G : Non-negative solutions of linear parabolic equations. Ann. Sci. Norm. Sup. Pisa (3) 22 ( Numdam | MR 55 #8553 | Zbl 0182.13802 AMT Auscher P, McIntosh A, Tchamitchian P : Noyau de la chaleur d'operateurs elliptiques complexes. Math. Research Lett. 1 ( Au Auscher P : Private communication. BD Barbatis G, Davies E B : Sharp bounds on heat kernels of higher order uniformly elliptic operators. Preprint BR Bauer L, Reiss E L : Block five diagonal matrices and the fast numerical solution of the biharmonic equation. Math. of Comput. 26 ( BS Birman M S, Solomjak M Z : On estimates of singular numbers of integral operators III. Operators on unbounded domains. Vestnik Leningrad State Univ. Math. 2 ( C Coffman C V : On the structure of solutions to Δ2u = λu which satisfy the clamped plate conditions on a right angle. SIAM J. Math. Anal. 13 ( CD Coffman C V, Duffin R J : On the fundamental eigenvalues of a clamped punctured disk. Adv. Appl. Math. 13 ( D1 Davies, E B : Explicit constants for Gaussian upper bounds on heat kernels. Amer J. Math. 109 ( D2 Davies E B : Heat Kernels and Spectral Theory. Cambridge University Press, D3 Davies E B : The functional calculus. Preprint, D4 Davies E B : Lp spectral independence and L1 analyticity. J. London Math. Soc. to appear. Zbl 0913.47032 D5 Davies E B : Uniformly elliptic operators with measurable coefficients. J Functional Anal. to appear. Zbl 0839.35034 D6 Davies E B : Long time asymptotics of fourth order parabolic equations. Preprint DM Davies E B, Mandouvalos N : heat kernel bounds on hyperbolic space and Kleinian groups. Proc. London Math. Soc. (3) 57 ( DST Davies E B, Simon B, Taylor M : Lp spectral theory of Kleinian groups. J. Functional Anal. 78 ( ER Elst A F M ter, Robinson D W : Subcoercive and subelliptic operators on Lie groups : Variable coefficients. Publ. RIMS 29 ( HS Helffer B and Sjöstrand J : Equation de Schrödinger avec champ magnétique et équation de Harper. pp. 118-197 in «Schrödinger Operators», eds. H Holden and A Jensen, Lecture Notes in Physics, Vol. 345, Springer-Verlag, HV Hempel R and Voigt J : The spectrum of a Schrödinger operator in Lp(RN) is p-independent. Commun. Math. Phys. 104 ( Article | MR 87h:35247 | Zbl 0593.35033 Hö Hörmander L : On the singularities of solutions of partial differential equations, in Proc. Inter. Conf. Tokyo JN1 Jensen A, Nakamura S : Lp-mapping properties of functions of Schrödinger operators and their applications to scattering theory. J. Math. Soc. Japan 47 ( Article | MR 95m:47087 | Zbl 0841.35096 JN2 Jensen A, Nakamura S : Mapping properties of functions of Schrödinger operators between Lp spaces and Besov spaces. pp 187-209 in «Spectral and Scattering Theory and Applications», Advanced Studies in Pure Math. vol. 23, Kinokuniya Publ., Tokyo, K Kordyukov Yu A : Lp-theory of elliptic differential operators on manifolds of bounded geometry. Acta Applic. Math. 23 ( KKM Kozlov V A, Kondrat'ev V A, Maz'ya V G : On sign variation and the absence of «strong» zeros of solutions of elliptic equations. Math. USSR Izvestiya 34 ( MNP Maz'ya V G, Nazarov S A, Plamenevskii B A : Absence of the De-Giorgi-type theorems for strongly elliptic operators with complex coefficients. J. Math. Soviet 28 ( O E.M. Ouhabaz : Gaussian estimates and holomorphy of semigroups. Proc. Amer. Math. Soc. 123 ( P Pang M M H : Resolvent estimates for Schrödinger operators in Lp(RN) and the theory of exponentially bounded C-semigroups. Semigroups Forum 41 ( Article | MR 91m:35170 | Zbl 0739.47017 PV1 Pipher J, Verchota G : A maximum principle for biharmonic functions in Lipschitz and C1 domains. Comment. Math. Helv. 68 ( PV2 Pipher J, Verchota G : Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators. Ann. Math. to appear. Zbl 0878.35035 R Robinson D W : Elliptic Operators and Lie Groups. Oxford University Press, Se Semenov Yu A : Stability of Lp spectrum, in preparation, Si1 Simon B : Trace ideals and their applications. London Math. Soc. Lecture Note Series, Vol. 35. Cambridge University Press, Si2 Simon B : Schrödinger semigroups. Bull. Amer. Math. Soc. 7 ( Article | MR 86b:81001a | Zbl 0524.35002 St Sturm K-Th : On the Lp-spectrum of Laplace-Beltrami operators. Preprint SV Schreieck G, Voigt J : Stability of the Lp spectrum of Schrödinger operators with form small negative part of the potential. In «Functional Analysis», Lecture Notes in Pure and Applied Math. ; Bierstedt, Pietsch, Ruess, Voigt eds. ; Dekker, VSC Varopoulos N Th, Saloff-Coste L, Coulhon T : Analysis and geometry on groups. Cambridge Tracts in Math., Vol. 100. Cambridge University Press, VG Vasil'ev D G, Gol'denveizer A L : Distribution of free vibration frequencies in two- and three-dimensional elastic bodies. p 227-242 of «Mechanics of Deformable Solids», ed. N Kh Arutiunian, I F Obraztsov, V Z Parton. Hemisphere Publ. Co., New York, |
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