Calculations of the ultraviolet counterterms of the bosonic and supersymmetric nonlinear o-models in two space-time dimensions are undertaken in order to verify conclusions of a recent argument 214 Copyright
The asymptotics of the gap in the Mathieu equation
โ Scribed by Joseph Avron; Barry Simon
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 435 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0003-4916
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๐ SIMILAR VOLUMES
The non-linear Mathieu equation is analyzed within the framework of the method of normal forms. Analytical conditions for explosive instability are obtained, and expressions for the period as well as the amplitude of the stable response are derived.
Let W be a bounded, simply connected, regular domain of R N , N \ 2. For 0 < e < 1, let u e : W Q C be a smooth solution of the Ginzburg-Landau equation in W with Dirichlet boundary condition g e , i.e., ## ห-Du in W, u e =g e on "W.
## Abstract Let ฮฉ denote an unbounded domain in โ^__n__^ having the form ฮฉ=โ^__l__^ร__D__ with bounded crossโsection __D__โโ^__n__โ__l__^, and let __m__โโ be fixed. This article considers solutions __u__ to the scalar wave equation โ__u__(__t__,__x__) +(โฮ)^__m__^__u__(__t__,__x__) = __f__(__x__)e^
Communicated by B
In this paper, the authors have studied a generalized GinzburgแLandau equation ลฝ . in two spatial dimensions 2D . They have shown that this equation, under periodic boundary conditions, has the maximal attractor with finite Hausdorff dimension. This rigorously establishes the foundation for further