Classical Solutions of Nonlinear Schrödinger Equations.
Nakao Hayashi (1986)
Manuscripta mathematica
Similarity:
Displaying similar documents to “Local Decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction.”
Classical Solutions of Nonlinear Schrödinger Equations.
Time Decay for Some Schrödinger Equations.
Nakao Hayashi, Tohru Ozawa (1988/89)
Mathematische Zeitschrift
Similarity:
Asymptotics of the Nodal Lines of Solutions of 2-Dimensional Schrödinger Equations.
M. Hoffmann-Ostenhof (1988)
Mathematische Zeitschrift
Similarity:
Time Dependent Nonlinear Schrödinger Equations.
Wolf von Wahl, Hartmut Pecher (1979)
Manuscripta mathematica
Similarity:
The Cauchy problem for the nonlinear Schrödinger Equation in H1.
Thierry Cazenave, Fred B. Weissler (1988)
Manuscripta mathematica
Similarity:
On a Class of non Linear Schrödinger Equations with non Local Interaction.
Jean Ginibre, Giorgio Velo (1980)
Mathematische Zeitschrift
Similarity:
Weak Asymptotics for Schrödinger Evolution
S. A. Denisov (2010)
Mathematical Modelling of Natural Phenomena
Similarity:
In this short note, we apply the technique developed in [Math. Model. Nat. Phenom., 5 (2010), No. 4, 122-149] to study the long-time evolution for Schrödinger equation with slowly decaying potential.
Commutator Methods and a Smoothing Property of the Schrödinger Evolution Group.
Arne Jensen (1986)
Mathematische Zeitschrift
Similarity:
Hardy's uncertainty principle, convexity and Schrödinger evolutions
Luis Escauriaza, Carlos E. Kenig, G. Ponce, Luis Vega (2008)
Journal of the European Mathematical Society
Similarity:
We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schrödinger evolutions. As a consequence we obtain some uniqueness results that generalize (a weak form of) Hardy’s version of the uncertainty principle. We also obtain corresponding results for heat evolutions.
Dispersion Phenomena in Dunkl-Schrödinger Equation and Applications
Mejjaoli, H. (2009)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: 35Q55,42B10. In this paper, we study the Schrödinger equation associated with the Dunkl operators, we study the dispersive phenomena and we prove the Strichartz estimates for this equation. Some applications are discussed.
A multiplicity result for the Schrodinger-Maxwell equations with negative potential
Giuseppe Maria Coclite (2002)
Annales Polonici Mathematici
Similarity:
We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
Results in L..(...) for the Schrödinger equation with a time-dependent potential.
Arne Jensen (1994)
Mathematische Annalen
Similarity:
Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Arne Jensen (1977)
Mathematica Scandinavica
Similarity:
The Cauchy problem for the coupled Klein-Gordon-Schrödinger system
Changxing Miao, Youbin Zhu (2006)
Annales Polonici Mathematici
Similarity:
We consider the Cauchy problem for a generalized Klein-Gordon-Schrödinger system with Yukawa coupling. We prove the existence of global weak solutions by the compactness method and, through a special choice of the admissible pairs to match two types of equations, we prove the uniqueness of those solutions by an approach similar to the method presented by J. Ginibre and G. Velo for the pure Klein-Gordon equation or pure Schrödinger equation. Though it is very simple in form, the method...
Fundamental Solutions and Eigenfunction Expansions for Schrödinger Operators. II. Eigenfunction Expansions.
Arne Jensen, Hitoshi Kitada (1988)
Mathematische Zeitschrift
Similarity: