Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Piermarco Cannarsa"'
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 1, Pp 174-203 (2018)
We derive necessary optimality conditions for minimizers of regular functionals in the calculus of variations under smooth state constraints. In the literature, this classical problem is widely investigated. The novelty of our result lies in the fact
Externí odkaz:
https://doaj.org/article/c69e5d4cda654821a1be0b89947ddb4d
Autor:
Piermarco Cannarsa, Luz De Teresa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2009, Iss 73,, Pp 1-21 (2009)
This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations. The first system consists of two forward equations, while the second one consists of one forward equati
Externí odkaz:
https://doaj.org/article/ed785cd831bf4892b2030d7cdc2b68ab
Autor:
Piermarco Cannarsa, Genni Fragnelli
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Iss 136, Pp 1-20 (2006)
In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. Due to degeneracy, classical null controllability results do not hold in gene
Externí odkaz:
https://doaj.org/article/e9330c41eb184a90a056023806429c32
Autor:
Piermarco Cannarsa, Cristina Pignotti
Publikováno v:
Le Matematiche, Vol 55, Iss 4, Pp 71-108 (2000)
A simple exit time problem with degenerate cos is here considered. Using a new technique for constructing admissible trajectories, a semiconcavity result for the value function ν is obtained. Such a property of ν is then applied to obtain optimalit
Externí odkaz:
https://doaj.org/article/79c9c7f10a5246c9bc0c180cec07b5f1
The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Autor:
Piermarco Cannarsa, Cristian Mendico
Publikováno v:
Journal of Differential Equations. 332:83-122
The long-time average behavior of the value function in the calculus of variations is known to be connected to the existence of the limit of the corresponding Abel means. Still in the Tonelli case, such a limit is in turn related to the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2948d80bf77e2b8304c48a0412b00bdf
https://doi.org/10.1016/j.jde.2022.05.018
https://doi.org/10.1016/j.jde.2022.05.018
Publikováno v:
Publications mathématiques de l'IHÉS. 133:327-366
If $U:[0,+\infty [\times M$ U : [ 0 , + ∞ [ × M is a uniformly continuous viscosity solution of the evolution Hamilton-Jacobi equation $$ \partial _{t}U+ H(x,\partial _{x}U)=0, $$ ∂ t U + H ( x , ∂ x U ) = 0 , where $M$ M is a not necessarily
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1bd9df1f6b2351891320b530036347c
https://doi.org/10.1007/s10240-021-00125-5
https://doi.org/10.1007/s10240-021-00125-5
Autor:
Wei Cheng, Piermarco Cannarsa
Publikováno v:
Milan Journal of Mathematics. 89:187-215
This is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton–Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Rieman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43d16253b7da058cd1d5b42dfeee0a0e
https://doi.org/10.1007/s00032-021-00330-1
https://doi.org/10.1007/s00032-021-00330-1
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 29
In a separable Hilbert space $X$, we study the controlled evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where $A\geq-\sigma I$ ($\sigma\geq0$) is a self-adjoint linear operator, $B$ is a bounded linear operator on $X$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::433b8a8e0e8a491c9f540a2c10fadf72
https://doi.org/10.1007/s00030-022-00770-7
https://doi.org/10.1007/s00030-022-00770-7
Publikováno v:
Journal of Evolution Equations. 21:941-967
We study the stabilizability of a class of abstract parabolic equations of the form $$\begin{aligned} u'(t)+Au(t)+p(t)Bu(t)=0,\qquad t\ge 0 \end{aligned}$$ u ′ ( t ) + A u ( t ) + p ( t ) B u ( t ) = 0 , t ≥ 0 where the control $$p(\cdot )$$ p (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b825f889001e6eb19d3544332394278
https://doi.org/10.1007/s00028-020-00611-z
https://doi.org/10.1007/s00028-020-00611-z