Local smoothing property and Strichartz inequality for Schrodinger equations with potentials superquadratic at infinity (スペクトル・散乱理論とその周辺 研究集会報告集)

By 谷島 賢二, Guoping Zhang. 2002

98 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3fbb633555b8c10a13fdecd6cff1604d0dbcccb4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. E. Lenzmann
2. Alexander Pankov
3. Xianhua Tang
4. Toka Diagana
5. A. Szulkin
6. Tobias Weth

In Mathematical Physics

1. Guoping Zhang
2. E. Lenzmann
3. Alexander Pankov
4. Juerg Froehlich
5. Antonio Iannizzotto
6. Stepan A. Tersian

Citations in the corpus

• STANDING WAVES OF THE DISCRETE NONLINEAR SCHR ¨ ODINGER EQUATIONS WITH GROWING POTENTIALS (2008, background): “The nonlinear Schr ¨ odinger equation with growing potential has been extensively investigated by many mathematicians and physicists, from the fundamental wellposedness of Cauchy problem [19, 20 , 21] to the existence and stability of standing waves [16, 14, 5, 22].”
• Well-posedness for Semi-relativistic Hartree Equations of Critical Type (2005, result): “In contrast to this, compare, for instance, the conditions on V in [ YZ04 ] for deriving Strichartz type estimates for e−it(−�+V ) in order to prove local well-posedness”