Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Alfredo Lorenzi"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 198,, Pp 1-22 (2015)
Real interpolation spaces are used for solving some identification linear evolution problems in Banach spaces, under space regularity assumptions.
Externí odkaz:
https://doaj.org/article/4289bf00b02f44a4bd769e62d830ac5b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 225,, Pp 1-34 (2012)
Real interpolation spaces are used for solving some direct and inverse linear evolution problems in Banach spaces, on the ground of space regularity assumptions.
Externí odkaz:
https://doaj.org/article/00bee958e74041849e8e5f97595b672e
Autor:
Alfredo Lorenzi
Publikováno v:
Mathematical Modelling and Analysis, Vol 18, Iss 3 (2013)
Via Carleman estimates we prove uniqueness and continuous dependence results for an identification and strongly ill-posed linear integro-differential parabolic problem with the Dirichlet boundary condition, but with no initial condition. The addition
Externí odkaz:
https://doaj.org/article/045921d05d5e40e291aab8b2653e8d60
Publikováno v:
Journal of Inverse and Ill-posed Problems. 25:617-631
Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal deriv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd80ab57b7a58caf8048f08944198880
https://doi.org/10.1515/jiip-2016-0066
https://doi.org/10.1515/jiip-2016-0066
Publikováno v:
Journal of Mathematical Analysis and Applications. 447:579-665
The aim of this paper consists in solving integrodifferential problem of type (1.1) – (1.2) that may degenerate both in space and time. More precisely, { M p ( t ) } t ∈ [ 0 , T ] is a family of multiplication operators related to a scalar functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d03a231c5538ff6cdc39d872296e59e
https://doi.org/10.1016/j.jmaa.2016.10.029
https://doi.org/10.1016/j.jmaa.2016.10.029
Autor:
Ioan I. Vrabie, Alfredo Lorenzi
Publikováno v:
Annals of the Alexandru Ioan Cuza University - Mathematics. 61:1-39
An existence, uniqueness and continuous dependence on the data result for a source term identification problem in a semilinear functional delay differential equation in a general Banach space is established. As additional condition, it is assumed tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::441e2ef791f8b04f88e9edd69cd4a91d
https://doi.org/10.2478/aicu-2013-0003
https://doi.org/10.2478/aicu-2013-0003
Autor:
Luca Lorenzi, Alfredo Lorenzi
Publikováno v:
Evolution Equations & Control Theory. 3:499-524
Via Carleman's estimates we prove uniqueness and continuous dependence results for a severely ill-posed linear integro-differential singular parabolic problems without initial conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f413fb200f851534d941533f1eee6fba
https://doi.org/10.3934/eect.2014.3.499
https://doi.org/10.3934/eect.2014.3.499
Autor:
Alfredo Lorenzi
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 19:2247-2265
We consider the problem of recovering a polarization kernel in an axially inhomogeneous cylindrical dielectric, the polarization depending on time and the axial variable, but being constant on each cross section of the cylinder. For this proble
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65e81e1fb20f35a27a129e4c5a6a26a2
https://doi.org/10.3934/dcdsb.2014.19.2247
https://doi.org/10.3934/dcdsb.2014.19.2247
Autor:
Viatcheslav Priimenko, Alfredo Lorenzi
Publikováno v:
SIAM Journal on Mathematical Analysis. 46:1874-1892
We prove the uniqueness and continuous dependence on the data of a weak solution to a problem for poroelastic waves with fractional derivatives both in unbounded and bounded time intervals and in all space dimensions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2e4fe7ed3bd9c78f9742cafeaa81470
https://doi.org/10.1137/130924147
https://doi.org/10.1137/130924147
Autor:
Ioan I. Vrabie, Alfredo Lorenzi
Publikováno v:
Journal of Inverse and Ill-posed Problems. 22:209-244
We prove the existence, uniqueness and continuous dependence on the data of a mild solution to an identification problem for a first-order semilinear delay differential equation in a Banach space subjected to an overdetermination expressed by means o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e30ffbec569a1599bf3929ffcc7e342
https://doi.org/10.1515/jip-2013-0020
https://doi.org/10.1515/jip-2013-0020