Zobrazeno 1 - 10
of 194
pro vyhledávání: '"Vessella, S."'
We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials,
Externí odkaz:
http://arxiv.org/abs/2408.13625
In this paper, we derive a local Carleman estimate for the complex second order elliptic operator with Lipschitz coefficients having jump discontinuities. Combing the result in [BL] and the arguments in [DcFLVW], we present an elementary method to de
Externí odkaz:
http://arxiv.org/abs/2001.04071
Publikováno v:
SIAM Journal on Mathematical Analysis, vol. 49, pp. 756-776, 2017
In this paper we derive rigorously the derivative of the Dirichlet to Neumann map and of the Neumann to Dirichlet map of the conductivity equation with respect to movements of vertices of triangular conductivity inclusions. We apply this result to fo
Externí odkaz:
http://arxiv.org/abs/1606.08129
In this paper, we would like to derive a quantitative uniqueness estimate, the three-region inequality, for the second order elliptic equation with jump discontinuous coefficients. The derivation of the inequality relies on the Carleman estimate prov
Externí odkaz:
http://arxiv.org/abs/1509.06001
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach does not rely on the techniques of microlocal analysis. We make use of
Externí odkaz:
http://arxiv.org/abs/1505.06084
Publikováno v:
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 3, p831-855, 25p
We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condition is prescribed on the damaged part and we prove logarithmic stabil
Externí odkaz:
http://arxiv.org/abs/1107.5151
Autor:
Malinnikova, E., Vessella, S.
Publikováno v:
Math. Ann. 353, No. 4, 1157-1181 (2012)
We use a Carleman type inequality of Koch and Tataru to obtain quantitative estimates of unique continuation for solutions of second order elliptic equations with singular lower order terms. First we prove a three sphere inequality and then describe
Externí odkaz:
http://arxiv.org/abs/1002.0994
Publikováno v:
Applicable Analysis, Vol. 85, 1-3 (2006) 205-223
We prove local quantitative estimates of unique continuation for solutions to parabolic equations: doubling properties and two-sphere one-cylinder inequalities.
Externí odkaz:
http://arxiv.org/abs/math/0611462
Publikováno v:
Transactions of the American Mathematical Society, 2002 Feb 01. 354(2), 491-535.
Externí odkaz:
https://www.jstor.org/stable/2693759