Zobrazeno 1 - 10
of 3 388
pro vyhledávání: '"35J25"'
Autor:
Melenk, Jens Markus, Rojik, Claudio
We present a shift theorem for solutions of the Poisson equation in a finite planar cone (and hence also on plane polygons) for Dirichlet, Neumann, and mixed boundary conditions. The range in which the shift theorem holds depends on the angle of the
Externí odkaz:
http://arxiv.org/abs/2409.17037
The aim of this paper is to prove a theorem of C.~Miranda for the single and double layer potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces in the limiting case i
Externí odkaz:
http://arxiv.org/abs/2409.11132
Autor:
de Cristoforis, M. Lanza
The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some
Externí odkaz:
http://arxiv.org/abs/2408.17192
Autor:
Calamai, Alessandro, Infante, Gennaro
We investigate the existence of nontrivial solutions of parameter-dependent elliptic equations with deviated argument in annular-like domains in $\mathbb{R}^{n}$, with $n\geq 2$, subject to functional boundary conditions. In particular we consider a
Externí odkaz:
http://arxiv.org/abs/2410.11615
In this paper, we examine some shape functionals, introduced by P\'olya and Makai, involving the torsional rigidity and the first Dirichlet-Laplacian eigenvalue for bounded, open and convex sets of $\mathbb{R}^n$. We establish new quantitative bounds
Externí odkaz:
http://arxiv.org/abs/2410.06858
Autor:
Liu, Xiong, Wang, Wenhua
Let $\varphi: \mathbb{R}^{n}\times[0,\infty)\rightarrow[0,\infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower type $p^-_{\varphi}$ and of uniformly upper type $p^+_{\varphi}$ wit
Externí odkaz:
http://arxiv.org/abs/2410.06611
Autor:
Nguyen, Ngoc Cuong
We present a generative reduced basis (RB) approach to construct reduced order models for parametrized partial differential equations. Central to this approach is the construction of generative RB spaces that provide rapidly convergent approximations
Externí odkaz:
http://arxiv.org/abs/2410.05139
Autor:
Nguyen, Ngoc Cuong
We present novel model reduction methods for rapid solution of parametrized nonlinear partial differential equations (PDEs) in real-time or many-query contexts. Our approach combines reduced basis (RB) space for rapidly convergent approximation of th
Externí odkaz:
http://arxiv.org/abs/2410.02100
Autor:
Nguyen, Ngoc Cuong
We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integrates several ingredients to develop efficient and accurate reduced-ord
Externí odkaz:
http://arxiv.org/abs/2410.02093
We consider an optimal insulation problem of a given domain in $\mathbb R^N$. We study a model of heat trasfer determined by convection; this corresponds, before insulation, to a Robin boundary value problem. We deal with a prototype which involves t
Externí odkaz:
http://arxiv.org/abs/2409.20155