Prof. Dr. Jürgen Voigt (i.R.)
(✝ 2025)
On the sum of two closed subspaces.
Preprint 2013. pdf
L_1-Estimates for Eigenfunctions of the Dirichlet Laplacian.
Preprint 2013.
(mit M. van den Berg, R. Hempel) pdf
The Skewb group.
Preprint 2013. pdf
Boundary systems and self-adjoint operators on infinite metric graphs.
Preprint 2012
(mit C. Schubert, C. Seifert, M. Waurick) pdf
Porous Medium Equation and Fast Diffusion Equation as gradient systems.
Czechoslovak Mathematical Journal, to appear (preprint 2012).
(mit S. Littig) pdf
On compactness in complex interpolation.
Ann. Funct. Anal. 3, no. 1, 121-127 (2012).
Dirichlet forms for singular diffusion on graphs.
Operators and Matrices 5, no. 4, 723-734 (2011).
(mit C. Seifert)
On honesty of perturbed substochastic $C_0$-semigroups in $L^1$-spaces.
J. Operator Theory 64, 131-147 (2010).
(mit M. Mokhtar-Kharroubi)
Dirichlet forms for singular one-dimensional operators and on graphs.
J. Evol. Equ. 9, 637-659 (2009).
(mit U. Kant, T. Klauß, M. Weber)
A sharp condition for the chaotic behaviour of a size structured cell population.
Differential and Integral Equations 22, 797-800 (2009).
(mit S. EL Mourchid, A. Rhandi, H. Vogt)
Relatively bounded extensions of generator perturbations.
Rocky Mountain J. Math. 39, 947-969 (2009).
(mit H. R. Thieme)
Modulus semigroups and perturbation classes for linear delay equations in $L_p$.
Positivity 12, 167-183 (2008).
(mit H. Vogt)
Small sets for Neumann boundary conditions.
Math.\ Nachr. 281, 442-446 (2008).
On the chaotic behaviour of size structured cell populations.
J. Math. Anal. Appl. 339, 918-924 (2008).
(mit S. EL Mourchid, G. Metafune und A. Rhandi)
Approximation of modulus semigroups and their generators.
Semigroup Forum 73, 109-128 (2006).
(mit M. Stein)
On modulus semigroups and their generators.
Proceedings Positivity IV -Theory and Applications, Dresden (Germany), 131-134 (2006).
(mit M. Stein)
Stochastic semigroups: their construction by perturbation and approximation.
Proceedings Positivity IV -Theory and Applications, Dresden (Germany), 135-146 (2006).
(mit H. R. Thieme)
The modulus semigroup for linear delay equations II.
Note Mat. 25, 191-208 (2005/2006).
Gaussian bounds for propagators perturbed by potentials.
J. Funct. Anal. 238, 245-277 (2006).
(mit V. Liskevich und H. Vogt)
Domination of semigroups associated with sectorial forms.
J. Operator Theory 54, 9-25 (2005)
(mit A. Manavi und H. Vogt)
The modulus semigroup for linear delay equations III.
J. Funct. Anal. 220, 388-400 (2005)
(mit M. Stein und H. Vogt)
The modulus of matrix semigroups.
Arch. Math. {\bf 82}, 311-316 (2004)
(mit M. Stein)
The modulus semigroup for linear delay equations.
Positivity 8, 1-9 (2004)
(mit S. Boulite, L. Maniar und A. Rhandi)
Linear delay equations in the $L_p$-context.
Evolution Equations (G. R. Goldstein and R. Nagel and S. Romanelli eds.),
Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 2003, pp. 319-330
(mit L. Maniar)
Wentzell boundary conditions in the context of Dirichlet forms.
Adv. Differ. Equ. 8, no 7, 821-842 (2003)
(mit H. Vogt)
A monotonicity property of the $\Gamma$-function.
JIPAM. Journal of Inequalities in Pure and Applied Mathematics 3, Issue 5 (2002)
(mit H. Vogt)
Moment inequalities and central limit properties of isotropic convex bodies.
Math. Zeitschr. 240, 37-51 (2002)
(mit U. Brehm, P. Hinow und H. Vogt)
Maximal operators associated with Dirichlet forms perturbed by measures.
Potential Analysis 16, 341-346 (2002)
(mit A. Manavi)
Permanence of moment estimates for p-products of convex bodies.
Studia Math. 150, 243-260 (2002)
(mit U. Brehm und H. Vogt)
On Banach spaces invariant under differentiation.
Bull. Soc. Royale des Sciences de Liège 69, 387-393 (2000)
(mit M. Langenbruch)
Asymptotics of cross sections for convex bodies.
Beitr"age zur Algebra und Geometrie/Contributions to Algebra and Geometry 41, 437-454 (2000)
(mit U. Brehm)
Flutter as a perturbation problem for semigroups.
In: `Semigroups of Operators: Theory and Applications' (A.V.~Balakrishnan ed.),
Progress in Nonlinear Differential Equations and Their Applications 42 , 89-95, Birkh"auser, Basel, 2000
(mit P. Dierolf und D. Schröder)
A concentration of mass property for isotropic convex bodies in high dimensions.
Israel J. Math. 115, 235-251 (2000)
Non-autonomous Miyadera perturbations.
Differ. Integral Equ. 13, 341-368 (2000)
(mit F. R\"abiger, A. Rhandi, R. Schnaubelt)
The non-autonomous Kato class.
Arch. Math. 72, 454-460 (1999)
(mit R. Schnaubelt)
Non-integral regularizing operators on $L_p$-spaces.
Math. Nachr. 202, 173-176 (1999)
On inequalities for symmetric submarkovian operators.
Arch. Math. 67, 308-311 (1996)
(vorher erschienen in Tübinger Berichte zur Funktionalanalysis, Heft 4, 159-162 (1994/95))
(mit R. Nagel)
The sector of holomorphy for symmetric submarkovian semigroups.
In: `Functional Analysis', Eds.: Dierolf/Dineen/Domanski, W. de Gruyter, Berlin, 1996
(vorher erschienen in: Tübinger Berichte zur Funktionalanalysis, Heft 4, 268-272 (1994/95))
The Feller property for absorption semigroups.
J. Funct. Anal. 138, 351-378 (1996)
(mit E.-M. Ouhabaz, P. Stollmann, K.-Th. Sturm)
Perturbation of Dirichlet forms by measures.
Potential Analysis 5, 109-138 (1996)
(mit P. Stollmann)
Absorption semigroups, Feller property, and Kato class.
In: `Partial Differential Operators and Mathematical Physics', M. Demuth, B.-W. Schulze eds., Birkhäuser, Basel, 1995, pp. 389-396
Stability of the essential type of strongly continuous semigroups.
In: `Selected Questions of Mathematical Physics and Analysis', collection of papers dedicated to the 70th birthday of Academician V. S. Vladimirov, Transactions Steklov Math. Inst. 203, 469-477 (1994)
The spectrum of Schrödinger operators in $L_p(R^d)$ and in $C_0(R^d)$.
In: `Mathematical Results in Quantum Mechanics', M. Demuth, P. Exner, H. Neidhardt, V. Zagrebnov eds., Birkhäuser, Basel, 1994, pp. 63-72
(mit R. Hempel)
Stability of the $L_p$-spectrum of Schrödinger operators with form small negative part of the potential.
In: `Functional Analysis', Proc. Essen 1991, Bierstedt, Pietsch, Ruess, Vogt eds., Marcel Dekker, New York, 1994, pp. 95-105
(mit G. Schreieck)
On the convex compactness property for the strong operator topology.
Note Mat. 12, 259-269 (1992)
One-parameter semigroups acting simultaneously on different $L_p$-spaces.
Bull. Soc. Royale des Sciences de Liège 61, 465-470 (1992)
Domination of uniformly continuous semigroups.
Acta Applicandae Math. 27, 27-31 (1992)
(mit W. Arendt)
Abstract Stein interpolation.
Math. Nachr. 157, 197-199 (1992)
Approximation of multipliers by regular operators.
Indag. Mathem., N.S., 2, 159-170 (1991)
(mit W. Arendt)
A counterexample to the singular sequence problem.
Indiana Univ. Math. J. 39, 27-30 (1990)
On resolvent positive operators and positive $C_0$-semigroups on $AL$-spaces.
Semigroup Forum 38, 263-266 (1989)
Absorption semigroups.
J. Operator Theory 20, 117-131 (1988)
The projection onto the center of operators in a Banach lattice.
Math. Z. 199, 115-117 (1988)
On the $L_p$-spectrum of Schrödinger operators.
J. Math. Anal. Appl. 121, 138-159 (1987)
(mit R. Hempel)
Absorption semigroups, their generators, and Schrödinger semigroups.
J. Funct. Anal. 67, 167-205 (1986)
The spectrum of a Schrödinger operator in $L_p(R^\nu)$ is p-independent.
Commun. Math. Phys. 104, 243-250 (1986)
(mit R. Hempel)
On substochastic $C_0$-semigroups and their generators.
Transport Theory and Stat. Phys. 16, 453-466 (1987)
(vorher erschienen in: Semesterbericht Funktionalanalysis, Tübingen, WS 1984/85)
Spectral properties of the neutron transport equation.
J. Math. Anal. Appl. 106, 140-153 (1985)
A regular potential which is nowhere in $L_1$. Lett. Math. Phys. 9 , 227-230 (1985)
(mit P. Stollmann)
Interpolation for (positive) $C_0$-semigroups on $L_p$-spaces.
Math. Z. 188, 283-286 (1985)
Positivity in time dependent linear transport theory.
Acta Applicandae Math. 2, 311-331 (1984)
Factorization in some Fréchet algebras of differentiable functions.
Studia Math. 77, 333-348 (1984)
Factorization in Fréchet algebras. J. London Math. Soc. (2) 29, 147-152 (1984)
On the abscissa of convergence for the Laplace transform of vector valued measures.
Arch. Math. 39, 455-462 (1982)
Stochastic operators, information, and entropy.
Commun. Math. Phys. 81, 31-38 (1981)
On the spectral bound of the generator of semigroups of positive operators.
J. Operator Theory 5, 245-256 (1981)
(mit G. Greiner und M. Wolff)
The H-theorem for Boltzmann type equations.
J. reine angew. Math. 326, 198-213 (1981)
A perturbation theorem for the essential spectral radius of strongly continuous semigroups.
Mh. Math. 90, 153-161 (1980)
Calculation of the bidual for some function spaces. Integrable distributions.
Math. Ann. 253, 63-87 (1980)
(mit P. Dierolf)
Kurzfassung davon in:
Proc. Internat. Conf. on Generalized Functions and their Applications in Math.
Phys., Steklov Math. Inst. Moscow, Nov. 24-28, 1980, 530-534 (1981)
(mit P. Dierolf)
Weak compactness of Fréchet-derivatives: application to composition operators.
J. Austral. Math. Soc. (Series A) 29, 399-406 (1980)
(mit P. Dierolf)
Discretized Boltzmann equation: lattice limit and non-Maxwellian gases.
J. Stat. Phys. 21, 649-657 (1979)
(mit W. Greenberg und P.F. Zweifel)
Convergence of a lattice model of the Boltzmann equation.
Lett. Math. Phys. 3, 293-296 (1979).
(mit W. Greenberg und P.F. Zweifel)
Convolution and $\cal S^{\prime}$-convolution of distributions.
Collectanea math. 29, 185-196 (1978)
(mit P. Dierolf)
An existence and uniqueness theorem for the Vlasov-Maxwell equations.
Transport Theory and Stat. Phys. 8, 23-28 (1979)
(mit M.D. Arthur und P.F. Zweifel)
Regularity of mild solutions of nonlinear parabolic equations.
Transport Theory and Stat. Phys. 8, 17-22 (1979)
On Y-closed subspaces of X, for Banach spaces $X \subset Y$; existence of alternating elements in subspaces of C(J).
Pacific J. Math. 81, 253-266 (1979)
On properties related to A-compactness, an example.
Proc. Royal Soc. Edinburgh 81A, 259-265 (1978)
The singular sequence problem.
Acta Sci. Math. 40, 383-388 (1978)
(mit W. Tafel und J. Weidmann)
On the perturbation theory for strongly continuous semigroups.
Math. Ann. 229, 163-171 (1977)
Perturbation theory for commutative m-tuples of self-adjoint operators.
J. Funct. Anal. 25, 317-334 (1977)
On the existence of the scattering operator for the linear Boltzmann equation.
J. Math. Anal. Appl. 58, 541-558 (1977)
Summable sequences and topological properties of $m_0(I)$.
Arch. Math. 28, 86-90 (1977)
(mit J. Batt und P. Dierolf)
Über die Friedrichsfortsetzung und die Monotonie der Eigenwerte.
Arch. Math. 26, 183-188 (1975)
Störungstheorie für kommutative m-Tupel von selbstadjungierten Operatoren.
Dissertation zur Erlangung des Doktorgrades, Universität München, 1975