Semi-classical measures and the Helmholtz Equation
-
Xue Ping Wang
wang@math.univ-nantes.fr
Downloads
Abstract
In this expository article, we review and improve uniform resolvent estimates for a family of operators and show how such results can be applied to the study of the high frequency Helmboltz equation by means of semi-classical measures. For the source term concentrated near a point, we provide a complete solution to determine the semi-classical measure.
Keywords
Similar Articles
- V. V. Palin, E. V. Radkevich, The Maxwell problem and the Chapman projection , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Jean M. Tchuenche, A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Constantin Corduneanu, Some special classes of neutral functional differential equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Tingxiu Wang, Some General Theorems on Uniform Boundedness for Functional Differential Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Sébastien Breteaux, Higher order terms for the quantum evolution of a Wick observable within the Hepp method , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Muhammad N. Islam, Youssef N. Raffoul, Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Mouffak Benchohra, Fatima-Zohra Mostefai, Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.










