کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417011 1338504 2016 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An inverse blow-up problem
ترجمه فارسی عنوان
یک مشکل انفجاری معکوس
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper studies an inverse problem to determine a nonlinearity of an autonomous equation from blow-up time of solutions to the equation. Firstly we prove a global continuation result showing that a nonlinearity realizing blow-up time for large initial data can be continued in the direction of smaller data as long as the blow-up time is Lipschitz continuous. Secondly we develop a method based upon a Wiener-Hopf structure by which the existence and uniqueness of a nonlinearity realizing blow-up time for large initial data is shown. These enable us to establish a global existence and uniqueness result for the inverse problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 11, 5 December 2016, Pages 6368-6410
نویسندگان
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