کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4593041 | 1335177 | 2006 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analytic hypoellipticity in the presence of nonsymplectic characteristic points
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Recently, N. Hanges proved that the operatorP=∂t2+t2Δx+∂θ(x)2 in R3R3 is analytic hypoelliptic in the sense of germs at the origin and yet fails to be analytic hypoelliptic ‘in the strong sense’ in any neighborhood of the origin (there is no neighborhood U of the origin such that for every open subset V of U and distribution u in U, Pu analytic in V implies that u is analytic in V ). Here ∂θ(x)=x1∂/∂x2−x2∂/∂x1∂θ(x)=x1∂/∂x2−x2∂/∂x1. We give a short L2L2 proof of this result which generalizes easily and suggestively to other operators with nonsymplectic characteristic varieties.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 234, Issue 2, 15 May 2006, Pages 464–472
Journal: Journal of Functional Analysis - Volume 234, Issue 2, 15 May 2006, Pages 464–472
نویسندگان
Antonio Bove, Makhlouf Derridj, David S. Tartakoff,