A unified approach to abstract linear non-autonomous parabolic equations, Rend. Sem. Mat. Univ. Padova, vol.78, pp.47-107, 1987. ,
Semigroups and evolution equations : functional calculus, regularity and kernel estimates, Handbook of Differential Equations, pp.1-85, 2004. ,
The operator-valued Marcinkiewicz multiplier theorem and maximal regularity, Mathematische Zeitschrift, vol.240, issue.2, pp.311-343, 2002. ,
DOI : 10.1007/s002090100384
Tools for maximal regularity, Mathematical Proceedings of the Cambridge Philosophical Society, vol.134, issue.02, pp.317-336, 2003. ,
DOI : 10.1017/S0305004102006345
L p -maximal regularity for nonautonomous evolution equations, p.preprint, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00293778
Caractère borné de certains générateurs de semi-groupes linéaires dans les espaces de Banach, C. R. Acad. Sci. Paris Sér. A-B, vol.290, issue.16, pp.757-760, 1980. ,
CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS, Proc. Natl. Acad. Sci. USA, pp.356-365, 1962. ,
DOI : 10.1073/pnas.48.3.356
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC220785
On maximal L p regularity for the abstract Cauchy problem, Boll. Un. Mat. Ital. B, vol.5, pp.165-175, 1986. ,
Maximal regularity and kernel bounds : observations on a theorem by Hieber and Prüss, Adv. Differ. Equ, vol.5, issue.1-3, pp.343-368, 2000. ,
Régularité L p pour leséquationsleséquations d'´ evolution, Séminaire d'Analyse Fonctionnelle, Publ. Math. Univ. Paris VII, vol.26, pp.155-165, 1984. ,
Sommes d'opérateurs linéaires etéquationsetéquations différentielles opérationnelles, J. Math. Pures Appl, vol.54, pp.305-387, 1975. ,
Fourier Multipliers and Problems of Elliptic and Parabolic Type, Memoirs Amer, Math. Soc. Amer. Math. Soc, vol.166, 2003. ,
Theory of H p -spaces, 1970. ,
One-parameter semigroups for linear evolution equations, Semigroup Forum, vol.63, issue.2, 1999. ,
DOI : 10.1007/s002330010042
Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations, Proc. Amer, pp.1047-1053, 2000. ,
Heat kernels and maximal L p ? L q estimates for parabolic evolution equations, Commun. Partial Diff. Eq, vol.22, pp.1647-1669, 1997. ,
A solution to the problem of $L^p-$maximal regularity, Mathematische Zeitschrift, vol.235, issue.3, pp.559-568, 2000. ,
DOI : 10.1007/PL00004816
The $H^{\infty}-$ calculus and sums of closed operators, Mathematische Annalen, vol.321, issue.2, pp.319-345, 2001. ,
DOI : 10.1007/s002080100231
Perturbation theorems for maximal L p -regularity, Ann. Scuola Norm. Sup. Pisa Cl. Sci, issue.4, pp.30-415, 2001. ,
Maximal L p regularity for parabolic equations, Fourier multiplier theorems and H ? functional calculus, Levico Lectures, Proceedings of the Autumn School on Evolution Equations and Semigroups, pp.65-320, 2004. ,
DOI : 10.1007/978-3-540-44653-8_2
Analytic Semigroups and Optimal Regularity in Parabolic Problems, Progress in Nonlinear Differential Equations and Their Applications, 1995. ,
Semigroup Methods to Solve Non-autonomous Evolution Equations, Semigroup Forum, vol.60, issue.1, pp.122-134, 2000. ,
DOI : 10.1007/s002330010006
Solvability and Maximal Regularity of Parabolic Evolution Equations with Coefficients Continuous in Time, Journal of Mathematical Analysis and Applications, vol.256, issue.2, pp.405-430, 2001. ,
DOI : 10.1006/jmaa.2000.7247
Coerciveness inequalities for abstract parabolic equations, Dokl. Akad. Nauk SSSR, vol.157, pp.52-55, 1964. ,
inégalité de Cwikel-Lieb-Rozenblum donne une majoration du nombre de valeurs propres négatives de l'opérateur de Schrödinger ?? ? V sur L 2 (R n ), n ? 3. On considère un potentiel V ? 0 appartenantàappartenantà L n ,
The spectral function and principal eigenvalues for Schrödinger operators. Potential Anal, pp.415-436, 1997. ,
Nonlinear Analysis on Manifolds. Monge-Ampère Equations, 1982. ,
DOI : 10.1007/978-1-4612-5734-9
Noncompact Riemannian manifolds with discrete spectra, Journal of Differential Geometry, vol.14, issue.1, pp.41-57, 1979. ,
DOI : 10.4310/jdg/1214434850
A relation between growth and the spectrum of the Laplacian, Mathematische Zeitschrift, vol.14, issue.4, pp.501-508, 1981. ,
DOI : 10.1007/BF01174771
On the spectrum of non-compact manifolds with finite volume, Mathematische Zeitschrift, vol.46, issue.3, pp.425-432, 1984. ,
DOI : 10.1007/BF01161957
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, Journal of Differential Geometry, vol.17, issue.1, pp.15-53, 1982. ,
DOI : 10.4310/jdg/1214436699
Eigenvalue comparison theorems and its geometric applications, Mathematische Zeitschrift, vol.9, issue.3, pp.289-297, 1975. ,
DOI : 10.1007/BF01214381
Heat Kernels and Spectral Theory, Cambridge Tracts in Math, vol.92, 1989. ,
DOI : 10.1017/CBO9780511566158
Spectral Theory and Differential Operators. Cambridge Studies in Ad, Math, p.42, 1995. ,
Maximum principle for parabolic inequalities and the heat flow on open manifolds, Indiana Univ. Math. J, vol.32, pp.703-716, 1983. ,
On the essential spectrum of a complete Riemannian manifold, Topology, vol.20, issue.1, pp.1-14, 1981. ,
DOI : 10.1016/0040-9383(81)90012-4
Pure point spectrum and negative curvature for non-compact manifolds. Duke Math, J, vol.46, pp.497-503, 1979. ,
Spectral Theory and Differential Operators, 1987. ,
Elliptic Partial Differential Equations of Second Order, 1983. ,
On some linear and nonlinear eigenvalue problems with an indefinite weight function, Comm. Partial Differential Equations, vol.5, pp.999-1030, 1980. ,
The Poincaré inequality for vector fields satisfying Hörmander's condition . Duke Math, J, vol.53, pp.503-523, 1986. ,
Discreteness of spectrum for the Schrödinger operators on manifolds with bounded geometry, Oper. Theory Adv. Appl, vol.18, issue.110, pp.185-226, 1999. ,
The Rozenblum-Lieb-Cwikel inequality for Markov generators, J. Anal. Math, vol.71, pp.173-193, 1997. ,
Bounds on the eigenvalues of the Laplace and Schrödinger operators, Bull. Am. Math. Soc, vol.82, pp.751-753, 1976. ,
Analyse sur les boules d'un opérateur sous-elliptique, Math. Ann, vol.303, pp.713-740, 1995. ,
The Schrödinger operator on the energy space : Boundedness and compactness criteria, Acta Math, vol.188, pp.263-302, 2002. ,
Discreteness of the spectrum for some differential operators with unbounded coefficients in R N, Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Natur, vol.11, pp.9-19, 2000. ,
On the localization of the essential spectrum of Schrödinger operators, Proc. Amer, pp.1779-1786, 2002. ,
Spectrum of the Schrödinger operator on a complete manifold, J. Funct. Anal, vol.112, pp.459-479, 1993. ,
The spectral bound and principal eigenvalues of Schrödinger operators on Riemannian manifolds. Duke Math, J, vol.110, pp.1-35, 2001. ,
Analysis of heat equations on domains, 2005. ,
CLR-type estimates for Schrödinger operators on Riemannian manifolds ,
On the essential spectrum of Schrödinger operators on Riemannian manifolds, Math. Z, vol.251, pp.1-20, 2005. ,
Methods of Modern Mathematical Physics. II : Fourier Analysis , Self-adjointness, 1975. ,
Methods of Modern Mathematical Physics. IV : Analysis of Operators, 1978. ,
The distribution of the discrete spectrum for singular differential operators, Sov. Math., Dokl. Dokl. Akad. Nauk SSSR, vol.13, issue.202, pp.245-249, 1972. ,
CLR-estimate for the generators of positivity preserving and positively dominated semi-groups) ; translation from Algebra Anal, St. Petersbg. Math. J, vol.9, issue.96, pp.1195-1211, 1997. ,
A note on Poincaré, Sobolev, and Harnack inequalities, Internat. Math. Res. Notices, vol.34, pp.27-38, 1992. ,
The spectrum of Schrödinger operators with positive potentials in Riemannian manifolds, Proc. Amer, pp.3447-3456, 2003. ,
Harmonic Analysis : Real-Variable Methods, Orthogonality and Oscillatory Integrals, Princeton Mathematical Series 43, 1993. ,