Zobrazeno 1 - 10
of 719
pro vyhledávání: '"A. ter Elst"'
Autor:
ter Elst, A. F. M., Ouhabaz, E. M.
We consider the Dirichlet-to-Neumann operator ${\cal N}$ associated with a general elliptic operator \[ {\cal A} u = - \sum_{k,l=1}^d \partial_k (c_{kl}\, \partial_l u) + \sum_{k=1}^d \Big( c_k\, \partial_k u - \partial_k (b_k\, u) \Big) +c_0\, u \in
Externí odkaz:
http://arxiv.org/abs/2404.18272
Publikováno v:
Arch. Math. (Basel) 121 (2023), no. 5-6, 731-744
Nittka gave an efficient criterion on a form defined on $L_2(\Omega)$ which implies that the associated semigroup is $L_p$-invariant for some given $p \in (1,\infty)$. We extend this criterion to the Hilbert space valued~$L_2(\Omega,H)$. As an applic
Externí odkaz:
http://arxiv.org/abs/2310.13885
Autor:
Anneke L. Eerkens, Koen Brummel, Annegé Vledder, Sterre T. Paijens, Marta Requesens, Dominik Loiero, Nienke van Rooij, Annechien Plat, Floris-Jan Haan, Patty Klok, Refika Yigit, Thijs Roelofsen, Natascha M. de Lange, Rie Klomp, David Church, Arja ter Elst, René Wardenaar, Diana Spierings, Floris Foijer, Viktor Hendrik Koelzer, Tjalling Bosse, Joost Bart, Mathilde Jalving, Anna K. L. Reyners, Marco de Bruyn, Hans W. Nijman
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-17 (2024)
Abstract Neoadjuvant immune checkpoint blockade (ICB) has shown unprecedented activity in mismatch repair deficient (MMRd) colorectal cancers, but its effectiveness in MMRd endometrial cancer (EC) remains unknown. In this investigator-driven, phase I
Externí odkaz:
https://doaj.org/article/1b7aedf643dd44ed914769ada0de8d61
In this article we consider the Dirichlet problem on a bounded domain $\Omega \subset {\bf R}^d$ with respect to a second-order elliptic differential operator in divergence form. We do not assume a divergence condition as in the pioneering work by St
Externí odkaz:
http://arxiv.org/abs/2305.07714
Autor:
Vincent D. de Jager, Jos A. Stigt, Maarten Niemantsverdriet, Arja ter Elst, Anthonie J. van der Wekken
Publikováno v:
npj Precision Oncology, Vol 8, Iss 1, Pp 1-4 (2024)
Abstract Precision cancer medicine has changed the treatment paradigm of patients with non-small cell lung cancer (NSCLC) with specific molecular aberrations. A major challenge is management of the resistance that tumor cells eventually develop again
Externí odkaz:
https://doaj.org/article/66cbe8d1f3b64337b77a6fb34250db83
Autor:
Denis, C., ter Elst, A. F. M.
Let $\Omega \subset \mathbb{R}^d$ be a bounded open connected set with Lipschitz boundary. Let $A^N$ and $A^D$ be the Neumann Stokes operator and Dirichlet Stokes operator on $\Omega$, respectively. Further let $\lambda_1^N \leq \lambda_2^N \leq \ldo
Externí odkaz:
http://arxiv.org/abs/2203.12070
We prove a generalized Birman-Schwinger principle in the non-self-adjoint context. In particular, we provide a detailed discussion of geometric and algebraic multiplicities of eigenvalues of the basic operator of interest (e.g., a Schr\"odinger opera
Externí odkaz:
http://arxiv.org/abs/2005.01195
Let $\Omega$ be a bounded domain in R d with Lipschitz boundary $\Gamma$. We define the Dirichlet-to-Neumann operator N on L 2 ($\Gamma$) associated with a second order elliptic operator A = -- d k,j=1 $\partial$ k (c kl $\partial$ l) + d k=1 b k $\p
Externí odkaz:
http://arxiv.org/abs/2004.09782
We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary conditions. Consequently this gives an, in general, sharper $\mathcal{H}^
Externí odkaz:
http://arxiv.org/abs/1912.09169
Autor:
ter Elst, A. F. M., Wong, M. F.
Consider the elliptic operator \[ A = - \sum_{k,l=1}^d \partial_k \, c_{kl} \, \partial_l + \sum_{k=1}^d a_k \, \partial_k - \sum_{k=1}^d \partial_k \, b_k + a_0 \] on a bounded connected open set $\Omega \subset {\bf R}^d$ with Lipschitz boundary co
Externí odkaz:
http://arxiv.org/abs/1910.07431