Zobrazeno 1 - 10
of 104
pro vyhledávání: '"47j07"'
Autor:
Schmitz, Lina Sophie
We analytically study a stationary free boundary problem describing a soap film bridge subjected to an electrostatic force. Starting from a cylinder that the soap film forms if its surface tension and the electrostatic force are perfectly balanced, w
Externí odkaz:
http://arxiv.org/abs/2409.18784
Autor:
Recke, Lutz
We consider periodic homogenization with localized defects of boundary value problems for semilinear ODE systems of the type $$ \Big((A(x/\varepsilon)+B(x/\varepsilon))u'(x)+c(x,u(x))\Big)'= d(x,u(x)) \mbox{ for } x \in (0,1),\; u(0)=u(1)=0. $$ For s
Externí odkaz:
http://arxiv.org/abs/2408.06705
Deep denoisers have shown excellent performance in solving inverse problems in signal and image processing. In order to guarantee the convergence, the denoiser needs to satisfy some Lipschitz conditions like non-expansiveness. However, enforcing such
Externí odkaz:
http://arxiv.org/abs/2402.05637
Autor:
Stevenson, Noah, Tice, Ian
In this paper we study solitary traveling wave solutions to a damped shallow water system, which is in general quasilinear and of mixed type. We develop a small data well-posedness theory and prove that traveling wave solutions are a generic phenomen
Externí odkaz:
http://arxiv.org/abs/2311.00160
This article is concerned with a regularity analysis of parametric operator equations with a perspective on uncertainty quantification. We study the regularity of mappings between Banach spaces near branches of isolated solutions that are implicitly
Externí odkaz:
http://arxiv.org/abs/2310.01256
Autor:
Ekeland, Ivar, Séré, Éric
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 1, pp. 1--15
In this paper we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.
Comment: Dedicated to the memory of Antonio Ambrosetti. To
Comment: Dedicated to the memory of Antonio Ambrosetti. To
Externí odkaz:
http://arxiv.org/abs/2309.16906
Autor:
Stiefenhofer, Matthias
We study the action of the nonlinear mapping G[z] between real or complex Banach spaces in the vicinity of a given curve with respect to possible linearization, emerging patterns of level sets, as well as existing solutions of G[z]=0. The results rep
Externí odkaz:
http://arxiv.org/abs/2309.15548
Autor:
Nefedov, Nikolai N., Recke, Lutz
We consider periodic homogenization of boundary value problems for second-order semilinear elliptic systems in 2D of the type $$ \partial_{x_i}\left(a_{ij}^{\alpha \beta}(x/\varepsilon)\partial_{x_j}u(x)+b_i^\alpha(x,u(x))\right)=b^\alpha(x,u(x)) \mb
Externí odkaz:
http://arxiv.org/abs/2309.14108
Autor:
Cibulka, Radek
Ioffe's criterion and various reformulations of it have become a~standard tool in proving theorems guaranteeing various regularity properties such as metric regularity, i.e., the openness with a linear rate around the reference point, of a~(set-value
Externí odkaz:
http://arxiv.org/abs/2307.07274
Autor:
Cavallina, Lorenzo
A celebrated theorem of Serrin asserts that one overdetermined condition on the boundary is enough to obtain radial symmetry in the so-called one-phase overdetermined torsion problem. It is also known that imposing just one overdetermined condition o
Externí odkaz:
http://arxiv.org/abs/2304.00791