A Strongly Ill-Posed Problem for the Equation
نویسندگان
چکیده
منابع مشابه
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
The paper is concerned with properties of an ill-posed problem for the Helmholtz equation when Dirichlet and Neumann conditions are given only on a part Γ of the boundary ∂Ω. We present an equivalent formulation of this problem in terms of a moment problem defined on the part of the boundary where no boundary conditions are imposed. Using a weak definition of the normal derivative, we prove the...
متن کاملA comparison of regularizations for an ill-posed problem
We consider numerical methods for a “quasi-boundary value” regularization of the backward parabolic problem given by { ut + Au = 0 , 0 < t < T u(T ) = f, where A is positive self-adjoint and unbounded. The regularization, due to Clark and Oppenheimer, perturbs the final value u(T ) by adding αu(0), where α is a small parameter. We show how this leads very naturally to a reformulation of the pro...
متن کاملA Finite Element Method for an Ill-Posed Problem
For an ill-posed problem which has its origin in several applications (e.g. electro-cardiology) a weak formulation is given over a Hilbert space without any constraints. This is achieved by means of Lagrangian multipliers. Beside theoretical questions (e.g. existence and uniqueness of a solutuion) a nite element approximation is considered. Error estimates, an investigation of the condition num...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولA Numerical Method for an Ill-posed Problem
The noncharacterisitic initial value problem for the one-dimensional heat equation (the solution and its rst-order spatial derivative speciied on an interval of the time axis) is well known to be ill-posed. Nevertheless, the author has proved in 4] that nonnegative solutions of this problem depend continuously on the initial data. However, this result does not solve the problem of constructing ...
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: Cumhuriyet Science Journal
سال: 2018
ISSN: 2587-2680
DOI: 10.17776/csj.450207