کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11017282 | 1746589 | 2019 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On eigenvalue generic properties of the Laplace-Neumann operator
ترجمه فارسی عنوان
خصوصیات عمومی خصوصی اپراتور لاپلاس-نویمان
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We establish the existence of analytic curves of eigenvalues for the Laplace-Neumann operator through an analytic variation of the metric of a compact Riemannian manifold M with boundary by means of a new approach rather than Kato's method for unbounded operators. We obtain an expression for the derivative of the curve of eigenvalues, which is used as a device to prove that the eigenvalues of the Laplace-Neumann operator are generically simple in the space Mk of all Ck Riemannian metrics on M. This implies the existence of a residual set of metrics in Mk, which make the spectrum of the Laplace-Neumann operator simple. We also give a precise information about the complementary of this residual set, as well as about the structure of the set of the deformation of a Riemannian metric which preserves double eigenvalues.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 135, January 2019, Pages 21-31
Journal: Journal of Geometry and Physics - Volume 135, January 2019, Pages 21-31
نویسندگان
José N.V. Gomes, Marcus A.M. Marrocos,