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
- R. Nithya Raj, R. Sundara Rajan, İsmail Naci Cangül, The metric dimension of cyclic hexagonal chain honeycomb triangular mesh and pencil graphs , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Mahdi Zreik, On the approximation of the δ-shell interaction for the 3-D Dirac operator , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Sever Silvestru Dragomir, Eder Kikianty, Perturbed weighted trapezoid inequalities for convex functions with applications , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Wael Abdelhedi, Minkowski type inequalities for a generalized fractional integral , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Vito Lampret, Estimating the remainder of an alternating \(p\)-series revisited , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Brian Weber, Keaton Naff, Canonical metrics and ambiKähler structures on 4-manifolds with \(U(2)\) symmetry , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- René Erlin Castillo, Héctor Camilo Chaparro, Función maximal, un subespacio de Orlicz-Lorentz, y el operador multiplicación , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Ricardo Castro Santis, Fernando Córdova-Lepe, Ana Belén Venegas, Biorreactor de fermentación con tasa estocástica de consumo , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Rubí E. Rodríguez, Anita M. Rojas, Matías Saavedra-Lagos, Representaciones lineales irreducibles de grupos finitos en cuerpos de números , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2005-04-01
How to Cite
[1]
X. Ping Wang, “Semi-classical measures and the Helmholtz Equation”, CUBO, vol. 7, no. 1, pp. 71–97, Apr. 2005.
Issue
Section
Articles
