Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Massimo Cicognani"'
Autor:
Massimo Cicognani
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 5, Iss 1, Pp 31-44 (2014)
We consider the Cauchy problem for a Schrödinger equation with an Hamiltonian depending also on the time variable and that may vanish at t = 0. We find optimal Levi conditions for well-posedness in Sobolev and Gevrey spaces.
Externí odkaz:
https://doaj.org/article/377704e4b7d642faa2dea2246dc4ceff
Autor:
massimo cicognani
Publikováno v:
Journal of Pseudo-Differential Operators and Applications. 14
We give a proof of the (possibly optimal) Sharp Gårding inequality for system operators with symbol of limited smoothness directly from the original symmetrization arguments by Friedrichs and Kumano-Go. The fact that only a few derivatives of the re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76f534ca8091ff0407044ad68ffae90e
https://doi.org/10.1007/s11868-022-00498-z
https://doi.org/10.1007/s11868-022-00498-z
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:1649-1671
We deal with the following Cauchy problem for a Schrodinger equation: $$\begin{aligned} D_t u-\varDelta u+\sum _{j=1}^na_j(t,x)D_{x_j} u+b(t,x) u=0,\quad u(0,x)=g(x). \end{aligned}$$ We assume a decay condition of type $$|x|^{-\sigma }$$ , $$\sigma \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d735e7b8e4b86a51b7c2025b5a722f63
https://doi.org/10.1007/s10231-019-00935-9
https://doi.org/10.1007/s10231-019-00935-9
Publikováno v:
Springer INdAM Series ISBN: 9783030613457
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84ac3d6b3e69539fa017fb7451bf306f
https://doi.org/10.1007/978-3-030-61346-4
https://doi.org/10.1007/978-3-030-61346-4
The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop'Anomalies in Partial Differential Equations'held in September 2019 at the Istituto Nazionale
Autor:
Massimo Cicognani, Ferruccio Colombini
Publikováno v:
Journal of Differential Equations. 254:3573-3595
In the hyperbolic Cauchy problem, the well-posedness in Sobolev spaces is strictly related to the modulus of continuity of the coefficients. This holds true for p-evolution equations with real characteristics (p=1 hyperbolic equations, p=2 vibrating
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86dd2895db78c3e85ae6fce5735f50f0
https://doi.org/10.1016/j.jde.2013.01.033
https://doi.org/10.1016/j.jde.2013.01.033
Autor:
Daniel Lorenz, Massimo Cicognani
none 2 si We consider the Cauchy problem for strictly hyperbolic m-th order partial differential equations with coefficients low-regular in time and smooth in space. It is well-known that the problem is L2 well-posed in the case of Lipschitz continuo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d1c87c568ff51c8d92732da8b233d0b
Autor:
Massimo Cicognani, Ferruccio Colombini
Publikováno v:
Transactions of the American Mathematical Society. 362:4853-4869
In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We show that the problem is well-posed in Sobolev spaces assuming a suitable decay of the coefficients as the space variable x → ∞ x\to \infty . In s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::337f3ff3a94eaa8622534b13b0a1c5f8
https://doi.org/10.1090/s0002-9947-10-05171-8
https://doi.org/10.1090/s0002-9947-10-05171-8
Publikováno v:
Journal of Differential Equations. 247(5):1440-1451
We consider the global Cauchy problem for an evolution equation which models an Euler–Bernoulli vibrating beam with time dependent elastic modulus under a force linear function of the displacement u , of the slope ∂ x u , of ∂ x 2 u and ∂ x 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5da493e8cd296829758578c76fac40b4