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
- Chengjun Guo, Donal O‘Regan, Ravi P. Agarwal, Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Helmuth R. Malonek, Dixan Peña, Frank Sommen, Fischer decomposition by inframonogenic functions , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Nicolas Raymond, Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Irena Kosi-Ulbl, Joso Vukman, An identity related to derivations of standard operator algebras and semisimple H∗ -algebras , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- A.P. Farajzadeh, A. Amini-Harandi, D. O‘Regan, R.P. Agarwal, Strong vector equilibrium problems in topological vector spaces via KKM maps , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Xavier Antoine, Christophe Besse, Jérémie Szeftel, Towards accurate artificial boundary conditions for nonlinear PDEs through examples , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Fabrizio Cuccu, Petar Popivanov, Giovanni Porru, Estimates for solutions to nonlinear degenerate elliptic equations , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Abdelouaheb Ardjouni, Ahcene Djoudi, Study of global asymptotic stability in nonlinear neutral dynamic equations on time scales , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Sóstenes Lins, Valdenberg Silva, On Maps with a Single Zigzag , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
<< < 11 12 13 14 15 16 17 18 19 20 21 22 > >>
You may also start an advanced similarity search for this article.











