An inverse map result and some applications to sensitivity of generalized equations
نویسندگان
چکیده
منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Generalized Inverse of the Laplacian Matrix and Some Applications
Académie serbe des sciences et des arts-2004 Classe des sciences mathématiques et naturelles sciences mathématiques, N o 29 A b s t r a c t. The generalized inverse L † of the Laplacian matrix of a connected graph is examined and some of its properties are established. In some physical and chemical considerations the quantity r ij = (L †) ii + (L †) jj − (L †) ij − (L †) ji is encountered; it i...
متن کاملCramer's Rule for Generalized Inverse Solutions of Some Matrices Equations
By a generalized inverse of a given matrix, we mean a matrix that exists for a larger class of matrices than the nonsingular matrices, that has some of the properties of the usual inverse, and that agrees with inverse when given matrix happens to be nonsingular. In theory, there are many different generalized inverses that exist. We shall consider the Moore Penrose, weighted Moore-Penrose, Draz...
متن کاملSensitivity analysis of generalized equations
In this paper we study sensitivity analysis of generalized equations (variational inequalities) with nonpolyhedral set constraints. We use an approach of local reduction of the corresponding constraint set to a convex cone. This leads to an introduction of an additional term in a linearization of the generalized equations which represents a curvature of the constraint set. We also discuss conce...
متن کاملInitial Value/boundary Value Problems for Fractional Diffusion-wave Equations and Applications to Some Inverse Problems
We consider initial value/boundary value problems for fractional diffusion-wave equation: ∂ α t u(x, t) = Lu(x, t), where 0 < α ≤ 2, where L is a symmetric uniformly elliptic operator with t-independent smooth coefficients. First we establish the unique existence of ths weak solutions and the asymptotic behaviour as the time t goes to ∞ and the proofs are based on the eigenfunction expansions. ...
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: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.10.023