Hendrik Vogt – Publikationen

1. Artikel in Zeitschriften und Proceedingsbänden

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

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

H. Vogt. L_∞-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. Vogt. Numerical range and quadratic numerical range for damped systems. Math. Methods Appl. Sci. 41 (2018), no. 16, 6546--6573. Paper Journal

H. Vogt, J. Voigt. Holomorphic 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. Vogt. On the L^p-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. Voigt. Bands in L_p-spaces. Math. Nachr. 290 (2017), no. 4, 632--638. Abstract Journal

M. Haase, P. C. Kunstmann, H. Vogt. On 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. Voigt. A note on absorption semigroups and regularity. Arch. Math. 106 (2016), no. 5, 485--488. Abstract Journal

H. Vogt. L₁-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. Wojciechowski. Note 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. Vogt. A generalisation of the form method for accretive forms and operators. J. Funct. Anal. 269 (2015), no. 3, 705--744. Abstract Journal

C. Seifert, H. Vogt. A 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. Vogt. An 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. Voigt. A 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. Vogt. The 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. Vogt. A 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. Voigt. Modulus semigroups and perturbation classes for linear delay equations in L_p. Positivity 12 (2008), no. 1, 167--183. Abstract Journal

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

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

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

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

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

V. Liskevich, Z. Sobol, H. Vogt. On the L_p-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. Vogt. On the L_p-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. Voigt. A 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. Voigt. Moment inequalities and central limit properties of isotropic convex bodies. Math. Zeitschr. 240 (2002), no. 1, 37--51. Abstract Journal

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

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

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

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

2. Graduierungsarbeiten

H. Vogt. Komplexifizierung von Operatoren zwischen L_p-Räumen. Diplomarbeit. Carl von Ossietzky Universität Oldenburg, Fachbereich Mathematik, 1995.

H. Vogt. L_p-properties of second order elliptic differential operators. Dissertation. Fakultät Mathematik und Naturwissenschaften, TU Dresden, 2001. dvi, ps, pdf

H. Vogt. Perturbation theory for parabolic differential equations. Habilitationsschrift. Fakultät Mathematik und Naturwissenschaften, TU Dresden, 2010. dvi, ps, pdf