Zobrazeno 1 - 10
of 263
pro vyhledávání: '"Arendt, Wolfgang"'
Autor:
Arendt, Wolfgang, Daners, Daniel
We study semi-linear evolutionary problems where the linear part is the generator of a positive $C_0$-semigroup. The non-linear part is assumed to be quasi-increasing. Given an initial value in between a sub- and a super-solution of the stationary pr
Externí odkaz:
http://arxiv.org/abs/2407.05522
We first give a general error estimate for the nonconforming approximation of a problem for which a Banach-Ne{\v c}as-Babu{\v s}ka (BNB) inequality holds. This framework covers parabolic problems with general conditions in time (initial value problem
Externí odkaz:
http://arxiv.org/abs/2304.10945
Given a densely defined skew-symmetric operators A 0 on a real or complex Hilbert space V , we parametrize all m-dissipative extensions in terms of contractions $\Phi$ : H-$\rightarrow$ H + , where Hand H + are Hilbert spaces associated with a bounda
Externí odkaz:
http://arxiv.org/abs/2208.03981
Autor:
Arendt, Wolfgang, Sauter, Manfred
We use form methods to define suitable realisations of the Laplacian on a domain $\Omega$ with Wentzell boundary conditions, i.e. such that $\partial_{\mathrm{n}}u + \beta u + \Delta u = 0$ holds in a suitable sense on the boundary of $\Omega$. For t
Externí odkaz:
http://arxiv.org/abs/2204.12981
The Representation Theorem of Lions (RTL) is a version of the Lax--Milgram Theorem where completeness of one of the spaces is not complete. In this paper, RTL is deduced from an operator-theoretical version on normed space. The main point of the pape
Externí odkaz:
http://arxiv.org/abs/2204.04414
Autor:
Arendt, Wolfgang, Daners, Daniel
Publikováno v:
Journal of Differential Equations 346 (2023) 376-415
The paper makes use of recent results in the theory of Banach lattices and positive operators to deal with abstract semilinear equations. The aim is to work with minimal or no regularity conditions on the boundary of the domains, where the usual argu
Externí odkaz:
http://arxiv.org/abs/2202.03780
Autor:
Arendt, Wolfgang, Glück, Jochen
The notion \emph{Perron-Frobenius theory} usually refers to the interaction between three properties of operator semigroups: positivity, spectrum and long-time behaviour. These interactions gives rise to a profound theory with plenty of applications.
Externí odkaz:
http://arxiv.org/abs/2005.08059