Local Time Decay for a Quasilinear Schrödinger Equation

• Autores: J.E. Lin
• Localización: Methods and applications of analysis, ISSN 1073-2772, Vol. 16, Nº 3, 2009, págs. 313-320
• Idioma: inglés
• DOI: 10.4310/maa.2009.v16.n3.a3
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• Resumen

  • We study the solutions of a quasilinear Schr¨odinger 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 L2 norm of the solution approaches zero as time approaches the infinity.