کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610578 1338572 2014 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness and spectral properties of heat and wave equations with non-local conditions
ترجمه فارسی عنوان
خواص خوب و طیفی معادلات گرما و موج با شرایط غیر محلی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We consider the one-dimensional heat and wave equations but - instead of boundary conditions - we impose on the solution certain non-local, integral constraints. An appropriate Hilbert setting leads to an integration-by-parts formula in Sobolev spaces of negative order and eventually allows us to use semigroup theory leading to analytic well-posedness, hence sharpening regularity results previously obtained by other authors. In doing so we introduce a parametrization of such integral conditions that includes known cases but also shows the connection with more usual boundary conditions, like periodic ones. In the self-adjoint case, we even obtain eigenvalue asymptotics of so-called Weylʼs type.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 7, 1 April 2014, Pages 2115-2151
نویسندگان
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