Zobrazeno 1 - 10
of 6 675
pro vyhledávání: '"maximal regularity"'
Autor:
Akrivis, Georgios, Larsson, Stig
We consider the discretization of a class of nonlinear parabolic equations by discontinuous Galerkin time-stepping methods and establish a priori as well as conditional a posteriori error estimates. Our approach is motivated by the error analysis in
Externí odkaz:
http://arxiv.org/abs/2412.08375
We introduce the Lebesgue--H\"{o}lder--Dini and Lebesgue--H\"{o}lder spaces $L^p(\mathbb{R};{\mathcal C}_{\vartheta,\varsigma}^{\alpha,\rho}({\mathbb R}^n))$ ($\vartheta\in \{l,b\}, \, \varsigma\in \{d,s,c,w\}$, $p\in (1,+\infty]$ and $\alpha\in [0,1
Externí odkaz:
http://arxiv.org/abs/2411.13266
Autor:
Kruse, Karsten, Schwenninger, Felix L.
We study maximal regularity with respect to continuous functions for strongly continuous semigroups on locally convex spaces as well as its relation to the notion of admissible operators. This extends several results for classical strongly continuous
Externí odkaz:
http://arxiv.org/abs/2408.11437
Autor:
Akrivis, Georgios, Larsson, Stig
The maximal regularity property of discontinuous Galerkin methods for linear parabolic equations is used together with variational techniques to establish a priori and a posteriori error estimates of optimal order under optimal regularity assumptions
Externí odkaz:
http://arxiv.org/abs/2407.15974
Autor:
Hong, Ruiyang, Kratsios, Anastasis
The foundations of deep learning are supported by the seemingly opposing perspectives of approximation or learning theory. The former advocates for large/expressive models that need not generalize, while the latter considers classes that generalize b
Externí odkaz:
http://arxiv.org/abs/2409.12335
In this paper, we prove that spatially semi-discrete evolving finite element method for parabolic equations on a given evolving hypersurface of arbitrary dimensions preserves the maximal $L^p$-regularity at the discrete level. We first establish the
Externí odkaz:
http://arxiv.org/abs/2408.14096
Autor:
Zhang, Jichao, Bu, Shangquan
In this paper, we study the $\ell^p$-maximal regularity for the fractional difference equation with finite delay: \begin{equation*} \ \ \ \ \ \ \ \ \left\{\begin{array}{cc} \Delta^{\alpha}u(n)=Au(n)+\gamma u(n-\lambda)+f(n), \ n\in \mathbb N_0, \lamb
Externí odkaz:
http://arxiv.org/abs/2406.15417
In this article, we establish global-in-time maximal regularity for the Cauchy problem of the classical heat equation $\partial_t u(x,t)-\Delta u(x,t)=f(x,t)$ with $u(x,0)=0$ in a certain $\rm BMO$ setting, which improves the local-in-time result ini
Externí odkaz:
http://arxiv.org/abs/2405.01791
Autor:
Barbera, Daniele, Murata, Miho
In this paper, we consider the model describing viscous incompressible liquid crystal flows, called the Beris-Edwards model, in the half-space.This model is a coupled system by the Navier-Stokes equations with the evolution equation of the director f
Externí odkaz:
http://arxiv.org/abs/2406.19805