کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9496010 | 1335208 | 2005 | 54 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave-packet approach
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Writing the resolvent of the Helmholtz equation as the integral in time of the associated semi-classical Schrödinger propagator, our analysis relies on the following tools: (i) for very large times, we prove and use a uniform version of the Egorov Theorem to estimate the time integral; (ii) for moderate times, we prove a uniform dispersive estimate that relies on a wave-packet approach, together with the above-mentioned transversality condition; (iii) for small times, we prove that the semi-classical Schrödinger operator with variable coefficients has the same dispersive properties as in the constant coefficients case, uniformly in É.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 223, Issue 1, 1 June 2005, Pages 204-257
Journal: Journal of Functional Analysis - Volume 223, Issue 1, 1 June 2005, Pages 204-257
نویسندگان
François Castella,