کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665942 | 1633839 | 2013 | 46 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Submanifolds that are level sets of solutions to a second-order elliptic PDE
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Submanifolds that are level sets of solutions to a second-order elliptic PDE Submanifolds that are level sets of solutions to a second-order elliptic PDE](/preview/png/4665942.png)
چکیده انگلیسی
We consider the problem of characterizing which noncompact hypersurfaces in RnRn can be regular level sets of a harmonic function modulo a C∞C∞ diffeomorphism, as well as certain generalizations to other PDEs. We prove a versatile sufficient condition that shows, in particular, that any nonsingular algebraic hypersurface whose connected components are all noncompact can be transformed onto a union of components of the zero set of a harmonic function via a diffeomorphism of RnRn. The technique we use combines robust but not explicit local constructions with appropriate global approximation theorems. In view of applications to a problem posed by Berry and Dennis, intersections of level sets are also studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 249, 20 December 2013, Pages 204–249
Journal: Advances in Mathematics - Volume 249, 20 December 2013, Pages 204–249
نویسندگان
Alberto Enciso, Daniel Peralta-Salas,