Local Time Decay for a Quasilinear Schrodinger Equation

Lin, J. E.

Lin, J. E.

Methods Appl. Anal., Tome 16 (2009) no. 1, p. 313-320 / Harvested from Project Euclid

Résumé

We study the solutions of a quasilinear Schrödinger equation which has been derived in many areas of physical modeling. Using the Morawetz Radial Identity, we show that the local energy of a solution is integrable in time and the local $L^2$ norm of the solution approaches zero as time approaches the infinity.

Publié le : 2009-09-15
Classification: Time decay, quasilinear Schrödinger equation, 35Q55

@article{1273002795,
     author = {Lin, J. E.},
     title = {Local Time Decay for a Quasilinear Schrodinger Equation},
     journal = {Methods Appl. Anal.},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 313-320},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273002795}
}

Lin, J. E. Local Time Decay for a Quasilinear Schrodinger Equation. Methods Appl. Anal., Tome 16 (2009) no. 1, pp.  313-320. http://gdmltest.u-ga.fr/item/1273002795/