کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611072 1338600 2010 54 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semiclassical measure for the solution of the dissipative Helmholtz equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Semiclassical measure for the solution of the dissipative Helmholtz equation
چکیده انگلیسی

We study the semiclassical measure for the solution of the high-frequency Helmholtz equation in Rn with non-constant absorption index and a source term concentrated on a bounded submanifold of Rn. The potential is not assumed to be non-trapping, but trapped trajectories have to go through the region where the absorption index is positive. In that case, the solution is microlocally written around any point away from the source as a sum (finite or infinite) of lagrangian distributions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 249, Issue 11, 1 December 2010, Pages 2703-2756