4 Цитирования (Scopus)

Аннотация

We introduce the concept of very weak solution to a Cauchy problem for elliptic equations. The Cauchy problem is regularized by a well-posed non-local boundary value problem whose solution is also understood in a very weak sense. A stable finite difference scheme is suggested for solving the non-local boundary value problem and then applied to stabilizing the Cauchy problem. Some numerical examples are presented for showing the efficiency of the method.

Язык оригиналаанглийский
Страницы (с-по)835-857
Число страниц23
ЖурналJournal of Inverse and Ill-Posed Problems
Том26
Номер выпуска6
DOI
СостояниеОпубликовано - 1 дек 2018

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