Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Di Cristo, Michele"'
Autor:
Di Cristo, Michele, Rondi, Luca
We prove decay estimates in the interior for solutions to elliptic equations in divergence form with Lipschitz continuous coefficients. The estimates explicitly depend on the distance from the boundary and on suitable notions of frequency of the Diri
Externí odkaz:
http://arxiv.org/abs/1907.05136
Publikováno v:
Arch. Rational Mech. Anal., 226(1), 117-141, 2017
This paper concerns the existence of critical points for solutions to second order elliptic equations of the form $\nabla\cdot \sigma(x)\nabla u=0$ posed on a bounded domain $X$ with prescribed boundary conditions. In spatial dimension $n=2$, it is k
Externí odkaz:
http://arxiv.org/abs/1611.06989
We treat the stability issue for the three dimensional inverse imaging modality called Quantitative Photoacoustic Tomography. We provide universal choices of the illuminations which enable to recover, in a H\"older stable fashion, the diffusion and a
Externí odkaz:
http://arxiv.org/abs/1505.03657
Publikováno v:
SIAM Journal on Mathematical Analysis ,Volume 46, Issue 4, 2014
We consider the inverse problem of identifying an unknown inclusion contained in an elastic body by the Dirichlet-to-Neumann map. The body is made by linearly elastic, homogeneous and isotropic material. The Lam\'e moduli of the inclusion are constan
Externí odkaz:
http://arxiv.org/abs/1306.3349
Autor:
Di Cristo, Michele, Ren, Yong
Publikováno v:
In Journal of Differential Equations 15 January 2019 266(2-3):936-941
We will show that the same type of estimates known for the fundamental solutions for scalar parabolic equations with smooth enough coefficients hold for the first order derivatives of fundamental solution with respect to space variables of scalar par
Externí odkaz:
http://arxiv.org/abs/0906.4438
Autor:
Di Cristo, Michele, Vessella, Sergio
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to-Neumann map. Under a priori regularity assumptions on the unknown def
Externí odkaz:
http://arxiv.org/abs/0904.0296
We deal with the problem of determining an inclusion within an electrical conductor from electrical boundary measurements. Under mild a priori assumptions we establish an optimal stability estimate.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/math/0403175
Autor:
Di Cristo, Michele, Rondi, Luca
Following a recent paper by N. Mandache (Inverse Problems 17 (2001), pp. 1435-1444), we establish a general procedure for determining the instability character of inverse problems. We apply this procedure to many elliptic inverse problems concerning
Externí odkaz:
http://arxiv.org/abs/math/0303126
Publikováno v:
In Journal of Mathematical Analysis and Applications 2010 365(2):750-757