An inequality for the reduced wave operator and the justification of geometrical optics
β Scribed by C. S. Morawetz; D. Ludwig
- Publisher
- John Wiley and Sons
- Year
- 1968
- Tongue
- English
- Weight
- 626 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Communicated by R. Racke We prove the existence of the wave operator for the system of the massive Dirac-Klein-Gordon equations in three space dimensions where the masses m, M>0. We prove that for the small final data w + β (H 3 2 +l,1 ) 4 , (/ + 1 , / + 2 ) β H 2+l,1 ΓH 1+l,1 , with l = 5 4 -
## Abstract Helmholtz equations with variable coefficients are known to be hard to solve both analytically and numerically. In this paper, we introduce a numerical multigrid solver for oneβdimensional Helmholtz eigenvalue problems with periodic potentials and solutions. The solvers employ waveβray
In this paper we give some conditions under which T q Ρ¨ f is maximal monotone Ε½ . in the Banach space X not necessarily reflexive , where T is a monotone operator from X into X \* and Ρ¨ f is the subdifferential of a proper lower semicontinuous Γ 4 convex function f, from X into β«ήβ¬ j qΟ± . We also gi