Zobrazeno 1 - 10
of 18
pro vyhledávání: '"M. Cristina Cerutti"'
Publikováno v:
Mathematics in Engineering, Vol 3, Iss 1, Pp 1-10 (2021)
We consider an inverse problem regarding the detection of small conductivity inhomogeneities in a boundary value problem for a semilinear elliptic equation. For such a problem, that is related to cardiac electrophysiology, an asymptotic expansion for
Externí odkaz:
https://doaj.org/article/82113264d9a1446e897ca1334cef7ac6
Publikováno v:
New York University Scholars
Mathematics in Engineering, Vol 3, Iss 1, Pp 1-10 (2021)
Mathematics in Engineering, Vol 3, Iss 1, Pp 1-10 (2021)
We consider an inverse problem regarding the detection of small conductivity inhomogeneities in a boundary value problem for a semilinear elliptic equation. For such a problem, that is related to cardiac electrophysiology, an asymptotic expansion for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33c9752848d08ce888808172ed62f204
https://hdl.handle.net/11585/920830
https://hdl.handle.net/11585/920830
Publikováno v:
New York University Scholars
In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad0b236ae6eef7e09a6669db05d4d8a6
Publikováno v:
Proceedings of the American Mathematical Society. 145:4773-4782
In this paper we will prove that the supremum and infimum of good solutions of the Dirichlet problem for elliptic and parabolic equations in non-divergence form with measurable coefficients, are good solutions to the same problem.
In this paper, we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified monodomain model describing the electrical activity of the heart. We derive s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::914d73d0fe69c2ef1649f8ab157704de
http://hdl.handle.net/11311/998259
http://hdl.handle.net/11311/998259
Publikováno v:
Annali di Matematica Pura ed Applicata. 186:145-153
We prove uniqueness of the good solution to the Cauchy–Dirichlet (C–D) problem for linear non-variational parabolic equations with the coefficients of the principal part with discountinuities, in cases in which in general uniqueness of strong sol
Publikováno v:
Archive for Rational Mechanics and Analysis. 171:329-348
We prove C 1,γ regularity of Lipschitz free boundaries of two-phase problems for linear elliptic operators with Holder continuous coefficients.
Publikováno v:
Inverse Problems. 33:105008
In this paper we develop theoretical analysis and numerical reconstruction techniques for the solution of an inverse boundary value problem dealing with the nonlinear, time-dependent monodomain equation, which models the evolution of the electric pot
Autor:
Marco Bramanti, M. Cristina Cerutti
Publikováno v:
Harmonic Analysis and Operator Theory. :81-94
Publikováno v:
Annali di Matematica Pura ed Applicata. 163:161-180
Uniqueness is proved for the Dirichlet problem for second order nondivergence form elliptic operators with coefficients continuous except at a countable set of points having at most one accumulation point. Moreover, gradient estimates are proved.