کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840572 908484 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces
چکیده انگلیسی

We show the well-posedness of initial value problems for differential inclusions of a certain type using abstract perturbation results for maximal monotone operators in Hilbert spaces. For this purpose the time derivative is established in an exponentially weighted L2L2 space. The problem of well-posedness then reduces to show that the sum of two maximal monotone operators in time and space is again maximal monotone. The theory is exemplified by three inclusions describing phenomena in mathematical physics involving hysteresis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 15, October 2012, Pages 5851–5865
نویسندگان
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