کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613563 1631516 2006 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Log-Lipschitz regularity for SG hyperbolic systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Log-Lipschitz regularity for SG hyperbolic systems
چکیده انگلیسی

We consider the Cauchy problem for linear and quasilinear symmetrizable hyperbolic systems with coefficients depending on time and space, not smooth in t and growing at infinity with respect to x. We discuss well-posedness in weighted Sobolev spaces, showing that the non-Lipschitz regularity in t has an influence not only on the loss of derivatives of the solution but also on its behaviour for |x|→∞. We provide examples to prove that the latter phenomenon cannot be avoided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 230, Issue 2, 15 November 2006, Pages 556-578