کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626652 1631789 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source
ترجمه فارسی عنوان
یک روش معادلات انتگرالی اصلاح شده معادله بیضوی غیرخطی با منبع جهانی و محلی لیپچیتز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The paper is devoted to investigating a Cauchy problem for nonlinear elliptic PDEs in the abstract Hilbert space. The problem is hardly solved by computation since it is severely ill-posed in the sense of Hadamard. We shall use a modified integral equation method to regularize the nonlinear problem with globally and locally Lipschitz source terms. Convergence estimates are established under priori assumptions on exact solution. A numerical test is provided to illustrate that the proposed method is feasible and effective. These results extend some earlier works on a Cauchy problem for elliptic equations

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 265, 15 August 2015, Pages 245–265
نویسندگان
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