کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774948 | 1413571 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global hypoellipticity and simultaneous approximability in ultradifferentiable classes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dimensional torus introduced by Himonas and Petronilho and we consider a new class of sublaplacians that generalizes this one and prove that it is globally {Ï}-hypoelliptic if and only if the coefficients satisfy a diophantine condition involving a new concept of simultaneous approximability with exponent {Ï}. Furthermore we prove that this new class is globally {Ï}-hypoelliptic if and only if certain perturbations of its vector fields, by adding more derivatives with respect to other variables, are globally {Ï}-hypoelliptic. We also recall the Petronilho's conjecture for the smooth hypoellipticity and present a new class of sublaplacians for which the Petronilho's conjecture holds true in the ultradifferentiable functions setup.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 1, 1 September 2017, Pages 104-124
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 1, 1 September 2017, Pages 104-124
نویسندگان
R.F. Barostichi, I.A. Ferra, G. Petronilho,