Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Nittka, Robin"'
Autor:
Menz, Georg, Nittka, Robin
We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range interaction. We show that if the interactions decay algebraically of o
Externí odkaz:
http://arxiv.org/abs/1309.0857
Autor:
Nittka, Robin
Publikováno v:
Nonlinear Analysis 75 (2012), no. 5, 2806--2811
We consider the quasi-linear eigenvalue problem $-\Delta_p u = \lambda g(u)$ subject to Dirichlet boundary conditions on a bounded open set $\Omega$, where $g$ is a locally Lipschitz continuous functions. Imposing no further conditions on $\Omega$ or
Externí odkaz:
http://arxiv.org/abs/1109.5089
Autor:
Nittka, Robin
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness of weak solutions and their continuity up to the boundary of the parabo
Externí odkaz:
http://arxiv.org/abs/1108.6227
Autor:
Mugnolo, Delio, Nittka, Robin
Publikováno v:
Journal of Evolution Equations Volume 12, Number 3 (2012), 593-619
In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form fails to be closable. As an intermediate step they have int
Externí odkaz:
http://arxiv.org/abs/1107.1366
Autor:
Gerlach, Moritz, Nittka, Robin
Publikováno v:
J. Math. Anal. Appl. 388 (2012), no. 2, 763--774
We prove that every bounded, positive, irreducible, stochastically continuous semigroup on the space of bounded, measurable functions which is strong Feller, consists of kernel operators and possesses an invariant measure converges pointwise. This di
Externí odkaz:
http://arxiv.org/abs/1106.6316
Autor:
Nittka, Robin
We prove H\"older continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domains with Neumann and Robin boundary conditions. This includes the $p$
Externí odkaz:
http://arxiv.org/abs/1104.5125
Publikováno v:
Operators and Matrices, Volume 7, Number 4 (2013), 955-995
Convergence of operators acting on a given Hilbert space is an old and well studied topic in operator theory. The idea of introducing a related notion for operators acting on arying spaces is natural. However, it seems that the first results in this
Externí odkaz:
http://arxiv.org/abs/1007.3932
Autor:
Nittka, Robin
Publikováno v:
J. Differential Equations 251 (2011) 860--880
For a linear, strictly elliptic second order differential operator in divergence form with bounded, measurable coefficients on a Lipschitz domain $\Omega$ we show that solutions of the corresponding elliptic problem with Robin and thus in particular
Externí odkaz:
http://arxiv.org/abs/0906.5285
Autor:
Mugnolo, Delio, Nittka, Robin
Publikováno v:
Positivity 15 (2011), No. 1, 135-154
A well-known result going back to the 1930s states that all bounded linear operators mapping scalar-valued $L^1$-spaces into $L^\infty$-spaces are kernel operators and that in fact this relation induces an isometric isomorphism between the space of s
Externí odkaz:
http://arxiv.org/abs/0903.2038