کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616504 | 1339351 | 2013 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Summability of formal solutions of linear partial differential equations with divergent initial data
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
We study the Cauchy problem for a general homogeneous linear partial differential equation in two complex variables with constant coefficients and with divergent initial data. We state necessary and sufficient conditions for the summability of formal power series solutions in terms of properties of divergent Cauchy data. We consider both the summability in one variable tt (with coefficients belonging to some Banach space of Gevrey series with respect to the second variable zz) and the summability in two variables (t,z)(t,z). The results are presented in the general framework of moment-PDEs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 243–260
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 243–260
نویسندگان
Sławomir Michalik,