On the radius of spatial analyticity for the Klein-Gordon-Schrödinger system
نویسندگان
چکیده
In this paper, we study the persistence of spatial analyticity for solutions to Klein-Gordon-Schrödinger system, which describes a physical system nucleon field interacting with neutral meson field, analytic initial data. Unlike case single nonlinear dispersive equation, not much is known about systems as it harder show coupled equations simultaneously. The only results so far are rather recent ones Dirac-Klein-Gordon governs when described by Dirac spinor fields in relativistic fields. contrast, aim here that works non-relativistic regime. It shown radius at later times obeys an algebraic lower bound time goes infinity.
منابع مشابه
On the Radius of Spatial Analyticity for the 1d Dirac-klein-gordon Equations
We study the well-posedness of the Dirac-Klein-Gordon system in one space dimension with initial data that are analytic in a strip around the real axis. It is proved that for short times t the radius of analyticity σ(t) of the solutions remains constant while for |t| → ∞ we obtain a lower bound σ(t) ≥ c/|t|5+ in the case of positive Klein-Gordon mass and σ(t) ≥ c/|t|8+ in the massless case.
متن کامل“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”
abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...
15 صفحه اولGeneralized solitary wave solutions for the Klein-Gordon-Schrödinger equations
Some new generalized solitary solutions of the Klein–Gordon–Schrödinger equations are obtained using the Exp-function method, which include some known solutions obtained by the F-expansion method and the homogeneous balance method in the open literature as special cases. It is shown that the Exp-function method is a straight, concise, reliable and promising mathematical tool for solving nonline...
متن کاملAnalytical solutions for the fractional Klein-Gordon equation
In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.03.018