کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842318 908529 2008 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type
چکیده انگلیسی

A characterization problem is discussed, of semigroups of locally Lipschitz operators providing mild solutions to the Cauchy problem for the semilinear evolution equation of parabolic type u′(t)=(A+B)u(t)u′(t)=(A+B)u(t) for t>0t>0. By parabolic type we mean that the operator AA is the infinitesimal generator of an analytic (C0)(C0) semigroup on a general Banach space XX. The operator BB is assumed to be locally continuous from a subset of YY into XX, where YY is a Banach space which is contained in XX and has a stronger norm defined through a fractional power of −A−A. The characterization is applied to the global solvability of the mixed problem for the complex Ginzburg–Landau equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 11, 1 December 2008, Pages 4025–4054
نویسندگان
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