Convolution and S' - Convolution of Distributions
Asymptotics of cross sections for convex bodies.
A monotonicity property of the -function.
Interpolation for (positive) C0-semigroups on Lp-spaces.
On the Perturbation Theory for Strongly Continuous Semigroups.
The Projection onto the Center of Operators in a Banach Lattice.
On resolvent positive operators and positive C0-semigroups on AL-spaces.
A Perturbation Theorem for the Essential Spectral Radius of Strongly Continuous Semigroups.
The H-theorem for Boltzmann type equations.
Factorization in some Fréchet algebras of differentiable functions
Calculation of the Bidual for Some Function Spaces. Integrable Distributions.
Convultion and S-Convultion of distributions.
Porous medium equation and fast diffusion equation as gradient systems
We show that the Porous Medium Equation and the Fast Diffusion Equation, , with , can be modeled as a gradient system in the Hilbert space , and we obtain existence and uniqueness of solutions in this framework. We deal with bounded and certain unbounded open sets and do not require any boundary regularity. Moreover, the approach is used to discuss the asymptotic behaviour and order preservation of solutions.
Increasing sequences of sectorial forms
We prove convergence results for `increasing' sequences of sectorial forms. We treat both the case of closed forms and the case of non-closable forms.
Permanence of moment estimates for p-products of convex bodies
It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.
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