Analytic smoothing effect for solutions to Schrödinger equations with nonlinearity of integral type

Ozawa, T.; Yamauchi, K.; Yamazaki, Y.

Osaka J. Math., Tome 42 (2005) no. 1, p. 737-750 / Harvested from Project Euclid

Résumé

We study analytic smoothing effects for solutions to the Cauchy problem for the Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

Publié le : 2005-12-14
Classification:

@article{1153494549,
     author = {Ozawa, T. and Yamauchi, K. and Yamazaki, Y.},
     title = {Analytic smoothing effect for solutions to Schr\"odinger equations with nonlinearity of integral type},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 737-750},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494549}
}

Ozawa, T.; Yamauchi, K.; Yamazaki, Y. Analytic smoothing effect for solutions to Schrödinger equations with nonlinearity of integral type. Osaka J. Math., Tome 42 (2005) no. 1, pp.  737-750. http://gdmltest.u-ga.fr/item/1153494549/