Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
نویسندگان
چکیده
منابع مشابه
Identification of Nonlinearity in Conductivity Equation via Dirichlet-to-Neumann Map∗
We prove that the linear term and quadratic nonlinear term entering a nonlinear elliptic equation of divergence type can be uniquely identified by the Dirichlet to Neuman map. The unique identifiability is proved using the complex geometrical optics solutions and singular solutions. Mathematics subject classification (MSC2000): 35R30
متن کاملRecovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
A formula is given for recovering the boundary values of the coeÆcient of an elliptic operator, div r, from the Dirichlet to Neumann map. The main point is that one may recover without any a priori smoothness assumptions. The formula allows one to recover the value of pointwise. Let R; n 2, be a bounded open set with Lipschitz boundary and let : ! R satisfy 1 (x) for some > 0. Let L = div r be...
متن کاملfrom linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar
chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...
15 صفحه اولAnalyzing diffraction gratings by a boundary integral equation Neumann-to-Dirichlet map method.
For analyzing diffraction gratings, a new method is developed based on dividing one period of the grating into homogeneous subdomains and computing the Neumann-to-Dirichlet (NtD) maps for these subdomains by boundary integral equations. For a subdomain, the NtD operator maps the normal derivative of the wave field to the wave field on its boundary. The integral operators used in this method are...
متن کاملBoundary integral equation Neumann-to-Dirichlet map method for gratings in conical diffraction.
Boundary integral equation methods for diffraction gratings are particularly suitable for gratings with complicated material interfaces but are difficult to implement due to the quasi-periodic Green's function and the singular integrals at the corners. In this paper, the boundary integral equation Neumann-to-Dirichlet map method for in-plane diffraction problems of gratings [Y. Wu and Y. Y. Lu,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2002
ISSN: 0266-5611
DOI: 10.1088/0266-5611/18/4/309