Zobrazeno 1 - 10
of 266
pro vyhledávání: '"WAURICK, MARCUS"'
Autor:
Aigner, Bernhard, Waurick, Marcus
We review $H^{1}$-well-posedness for initial value problems of ordinary differential equations with state-dependent right-hand side. We streamline known approaches to infer existence and uniqueness of solutions for small times given a Lipschitz-conti
Externí odkaz:
http://arxiv.org/abs/2410.20613
We characterise quantitative semi-uniform stability for $C_0$-semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port-Hamil
Externí odkaz:
http://arxiv.org/abs/2410.02357
We refine the understanding of continuous dependence on coefficients of solution operators under the nonlocal $H$-topology viz Schur topology in the setting of evolutionary equations in the sense of Picard. We show that certain components of the solu
Externí odkaz:
http://arxiv.org/abs/2409.07084
In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter parts. This method is exemplified by applications to the wave, heat and f
Externí odkaz:
http://arxiv.org/abs/2407.09148
Autor:
Aigner, Bernhard, Waurick, Marcus
We present an application of recent well-posedness results in the theory of delay differential equations for ordinary differential equations arXiv:2308.04730 to a generalized population model for stem cell maturation. The weak approach using Sobolev-
Externí odkaz:
http://arxiv.org/abs/2406.06630
We provide certain compatibility conditions for m-accretive operators such that the adjoint of the sum is given by the closure of the sum of the respective adjoint. We revisit the proof of well-posedness of the abstract class of partial differential-
Externí odkaz:
http://arxiv.org/abs/2312.14642
Publikováno v:
J. Evol. Equ. 24, 45 (2024)
We prove a compactness result related to $G$-convergence for autonomous evolutionary equations in the sense of Picard. Compared to previous work related to applications, we do not require any boundedness or regularity of the underlying spatial domain
Externí odkaz:
http://arxiv.org/abs/2311.12213
Autor:
Skrepek, Nathanael, Waurick, Marcus
Publikováno v:
J. of Differential Equations, 394:345-374, 2024
We regard anisotropic Maxwell's equations as a boundary control and observation system on a bounded Lipschitz domain. The boundary is split into two parts: one part with perfect conductor boundary conditions and the other where the control and observ
Externí odkaz:
http://arxiv.org/abs/2310.12123
Publikováno v:
Pure Appl. Funct. Anal. 9.4 (2024) pp. 963-990
Considering evolutionary equations in the sense of Picard, we identify a certain topology for material laws rendering the solution operator continuous if considered as a mapping from the material laws into the set of bounded linear operators, where t
Externí odkaz:
http://arxiv.org/abs/2309.09499
Autor:
Frohberg, Johanna, Waurick, Marcus
Classically, solution theories for state-dependent delay equations are developed in spaces of continuous or continuously differentiable functions. The former can be technically challenging to apply in as much as suitably Lipschitz continuous extensio
Externí odkaz:
http://arxiv.org/abs/2308.04730