We study the existence of solutions for the Cauchy problem of the non-isotropically perturbed nonlinear Schrödinger equation where a, b are not simultaneously vanishing real constants, α is a positive constant, and x = (x 1 , x 2 ) ∈ R 2 . By using Kato's method, we establish some local existence r
Solvability of the Cauchy problem of nonlinear beam equations in Besov spaces
✍ Scribed by Ai Guo; Shangbin Cui
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 318 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example i
## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__⩾3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys