Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Vilmos Komornik"'
Autor:
Vilmos Komornik
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 28, Iss 2, Pp 33-48 (2010)
We consider the Korteweg–de Vries equation on a bounded intervalwith periodic boundary conditions. We prove that a natural mass conserving global feedback exponentially stabilizes the system in all Sobolev norms and we obtain explicit decay rates.
Externí odkaz:
https://doaj.org/article/a5937fd751d0447aafaf0c055c9b84a1
Autor:
Vilmos Komornik, Paola Loreti
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 25, Iss 1-2, Pp 67-76 (2007)
We establish several boundary observability results for finite-dimensional approximations of systems of strings and beams via space discretization. Our results allow us to recover the optimal observability theorems concerning the continuous case by a
Externí odkaz:
https://doaj.org/article/47edc6756dbd4f659f992fb07c0abcb2
Autor:
Vilmos Komornik
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 25, Iss 1-2, Pp 139-146 (2007)
We review some classical results on the convergence of classical trigonometric and polynomial Fourier series. Then we present a not well-known short proof of the local uniform boundedness of many classical orthonormal systems. Finally, we formulate a
Externí odkaz:
https://doaj.org/article/64e0ffda43b04dcdabc8ad698af14240
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 20, Iss 1-2, Pp 59-72 (2002)
We study the well posedness and the controllability of a realistic beammodel. It turns out that for some values of the papameters it is controllable, while for other values it is not even well posed. In order to solve this problem we also give a gene
Externí odkaz:
https://doaj.org/article/85368149da0c41dfae72bf9865f0974e
Autor:
Vilmos Komornik
Publikováno v:
Mathematics Magazine. 95:333-337
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fcc73aa736eb2fccb58c44260d2d29a
https://doi.org/10.1080/0025570x.2022.2094138
https://doi.org/10.1080/0025570x.2022.2094138
Publikováno v:
Journal of Number Theory. 233:198-227
Let M be a positive integer and q ∈ ( 1 , M + 1 ] . A q-expansion of a real number x is a sequence ( c i ) = c 1 c 2 ⋯ with c i ∈ { 0 , 1 , … , M } such that x = ∑ i = 1 ∞ c i q − i . Let U q j denote the set of numbers having exactly j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd5df1bc4e8b7fe02cbb76ebfbd563a4
https://doi.org/10.1016/j.jnt.2021.06.009
https://doi.org/10.1016/j.jnt.2021.06.009
Publikováno v:
Science China Mathematics. 64:2667-2702
Unique expansions in non-integer bases have been investigated in many papers during the last thirty years. They are often conveniently generated by labeled directed graphs. We give a precise description of the set of sequences generated by these grap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88000f3a764a8e7950be804fe2276d72
https://doi.org/10.1007/s11425-020-1763-5
https://doi.org/10.1007/s11425-020-1763-5
Autor:
Vilmos Komornik, Yi Cai
Publikováno v:
Publicationes Mathematicae Debrecen. 98:129-155
In a recent paper, Baker and Kong have studied the Hausdorff dimension of the intersection of Cantor sets with their translations. We extend their results to more general Cantor sets. The proofs rely on the frequencies of digits in unique expansions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06b42bcb8f5d75f504e1e9890c1fa759
https://doi.org/10.5486/pmd.2021.8822
https://doi.org/10.5486/pmd.2021.8822
Autor:
Vilmos Komornik
Publikováno v:
The American Mathematical Monthly. 127:841-846
We give a short construction of the exponential function using only the simplest properties of convergent sequences and two well-known elementary inequalities. It could be used at an early stage in...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a106de44633f1498e91e7319b78e98e7
https://doi.org/10.1080/00029890.2020.1803627
https://doi.org/10.1080/00029890.2020.1803627
Publikováno v:
Networks & Heterogeneous Media. 15:633-652
We investigate the simultaneous observability of infinite systems of vibrating strings or beams having a common endpoint where the observation is taking place. Our results are new even for finite systems because we allow the vibrations to take place
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::728ddf5515d8fe689ff81d2fc3f2e6d3
https://doi.org/10.3934/nhm.2020017
https://doi.org/10.3934/nhm.2020017