Mixed Norm Estimates of Schrödinger Waves and Their Applications
نویسندگان
چکیده
In this paper we establish mixed norm estimates of interactive Schrödinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schrödinger equations with mass critical nonlinearity.
منابع مشابه
An equivalent representation for weighted supremum norm on the upper half-plane
In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresenta...
متن کاملEssential norm estimates of generalized weighted composition operators into weighted type spaces
Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...
متن کاملOn Space-time Estimates for the Schrödinger Operator
We prove mixed-norm space-time estimates for solutions of the Schrödinger equation, with initial data in L-Sobolev or Besov spaces, and clarify the relation with adjoint restriction. RÉSUMÉ. Nous obtenons des estimations en norme-mixte espace-temps pour l’équation de Schrödinger avec valeurs initiales dans des espaces de Sobolev ou de Besov. Nous éclaircissons également leurs relations avec cel...
متن کاملEstimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces
Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
متن کاملApplication of the Norm Estimates for Univalence of Analytic Functions
By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009