Fachbereich 3Mathematik

Hendrik Vogt – Publikationen

1. Artikel in Zeitschriften und Proceedingsbänden

H. Vogt, J. VoigtIncreasing sequences of sectorial forms.  Czechoslovak Math. J. 70 (2020), no. 4, 1033--1046.  Abstract  Paper

H. Vogt, J. VoigtOn Hausdorff measure and an inequality due to Maz'ya.  Arch. Math. 114 (2020), no. 5, 573--583.  Abstract  Paper

H. VogtL-estimates for the torsion function and L-growth of semigroups satisfying Gaussian bounds.  Potential Anal. 51 (2019), no. 1, 37--47.  Abstract  Paper

B. Jacob, C. Tretter, C. Trunk, H. VogtNumerical range and quadratic numerical range for damped systems.  Math. Methods Appl. Sci. 41 (2018), no. 16, 6546--6573.  Paper  Journal

H. Vogt, J. VoigtHolomorphic families of forms, operators and C0-semigroups.  Monatsh. Math. 187 (2018), no. 2, 375--380.  Abstract  Paper

A.F.M. ter Elst, Vitali Liskevich, Z. Sobol, H. VogtOn the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficients.  Proc. Lond. Math. Soc. 115 (2017), no. 4, 693--724.  Abstract  Journal

H. Vogt, J. VoigtBands in Lp-spaces.  Math. Nachr. 290 (2017), no. 4, 632--638.  Abstract  Journal

M. Haase, P. C. Kunstmann, H. VogtOn the numerical range of generators of symmetric L-contractive semigroups.  Arch. Math. 107 (2016), no. 5, 553--559.  Abstract  Paper Journal

A. Manavi, H. Vogt, J. VoigtA note on absorption semigroups and regularity.  Arch. Math. 106 (2016), no. 5, 485--488.  Abstract  Journal

H. VogtL1-estimates for eigenfunctions and heat kernel estimates for semigroups dominated by the free heat semigroup.  J. Evol. Equ. 15 (2015), no. 4, 879--893.  Abstract  Journal

M. Keller, D. Lenz, H. Vogt, R. WojciechowskiNote on basic features of large time behaviour of heat kernels.  J. Reine Angew. Math. 708 (2015), 73--95.  Abstract  Journal

A.F.M. ter Elst, M. Sauter, H. VogtA generalisation of the form method for accretive forms and operators.  J. Funct. Anal. 269 (2015), no. 3, 705--744.  Abstract  Journal

C. Seifert, H. VogtA weak Gordon type condition for absence of eigenvalues of one-dimensional Schrödinger operators.  Integral Equations and Operator Theory 78 (2014), no. 3, 383--405.  Abstract  Journal

H. VogtAn Eberlein-Šmulian type result for the weak* topology.  Arch. Math. 95 (2010), no. 1, 31--34.  Abstract  Journal

S. ELMourchid, A. Rhandi, H. Vogt, J. VoigtA sharp condition for the chaotic behaviour of a size structured cell population.  Differential Integral Equations 22 (2009), no. 7--8, 797--800.  Abstract  Journal

H. VogtThe regular part of symmetric forms associated with second-order elliptic differential expressions.  Bull. Lond. Math. Soc. 41 (2009), no. 3, 441--444.  Abstract  Journal  Article

H. VogtA lower bound on the first spectral gap of Schrödinger operators with Kato class measures.  Ann. Henri Poincaré 10 (2009), no. 2, 395--414.  Abstract  Journal

H. Vogt, J. VoigtModulus semigroups and perturbation classes for linear delay equations in Lp.  Positivity 12 (2008), no. 1, 167--183.  Abstract  Journal

P. Kunstmann, H. VogtWeighted norm estimates and Lp-spectral independence of linear operators.  Colloq. Math. 109 (2007), no. 1, 129--146.  Abstract  Journal

V. Liskevich, H. Vogt, J. VoigtGaussian bounds for propagators perturbed by potentials.  J. Funct. Anal. 238 (2006), no. 1, 245--277.  Abstract  Journal

M. Stein, H. Vogt, J. VoigtThe modulus semigroup for linear delay equations III.  J. Funct. Anal. 220 (2005), no. 2, 388--400.  Abstract  Journal

A. Manavi, H. Vogt, J. VoigtDomination of semigroups associated with sectorial forms.  J. Operator Theory 54 (2005), no. 1, 9--25.  Journal

H. VogtLp-analyticity of Schrödinger semigroups on Riemannian manifolds.  Evolution equations (Warsaw, 2001), 73--80, Banach Center Publ., 60, Polish Acad. Sci., Warsaw, 2003.

H. Vogt, J. VoigtWentzell boundary conditions in the context of Dirichlet forms.  Adv. Differential Equations 8 (2003), no. 7, 821--842.  Abstract  Journal

V. Liskevich, Z. Sobol, H. VogtOn the Lp-theory of C0-semigroups associated with second-order elliptic operators. II.  J. Funct. Anal. 193 (2002), no. 1, 55--76.  Abstract  Journal

Z. Sobol, H. VogtOn the Lp-theory of C0-semigroups associated with second-order elliptic operators. I.  J. Funct. Anal. 193 (2002), no. 1, 24--54.  Abstract  Journal

H. Vogt, J. VoigtA monotonicity property of the Γ-function.  JIPAM (J. of Ineq. in Pure and Applied Math.) 3 (2002), no. 5, Article 73.  Abstract  Journal

U. Brehm, P. Hinow, H. Vogt, J. VoigtMoment inequalities and central limit properties of isotropic convex bodies.  Math. Zeitschr. 240 (2002), no. 1, 37--51.  Abstract  Journal

U. Brehm, H. Vogt, J. VoigtPermanence of moment estimates for p-products of convex bodies.  Studia Math. 150 (2002), no. 3, 243--260.  Abstract  Journal

H. VogtEquivalence of Pointwise and Global Ellipticity Estimates.  Math. Nachr. 237 (2002), no. 1, 125--128.  Abstract  Journal

V. Liskevich, H. VogtOn Lp-spectra and essential spectra of second-order elliptic operators.  Proc. London Math. Soc. (3) 80 (2000), no. 3, 590--610.  Abstract  Journal

H. VogtOn the constant in real Riesz-Thorin interpolation.  Arch. Math. 71 (1998), no. 2, 112--114.  Abstract  Journal

2. Graduierungsarbeiten

  1. H. Vogt.  Komplexifizierung von Operatoren zwischen Lp-Räumen. Diplomarbeit. Carl von Ossietzky Universität Oldenburg, Fachbereich Mathematik, 1995.
  2. H. Vogt.  Lp-properties of second order elliptic differential operators. Dissertation. Fakultät Mathematik und Naturwissenschaften, TU Dresden, 2001. dvi, ps, pdf
  3. H. Vogt.  Perturbation theory for parabolic differential equations. Habilitationsschrift. Fakultät Mathematik und Naturwissenschaften, TU Dresden, 2010. dvi, ps, pdf