## Abstract We investigate the asymptotic behavior of global solutions for nonlinear Schrödinger equation with a defocusing exponential nonlinearity in two space dimensions. We prove that any (global) solution approaches a unique free Schrödinger solution at the time infinity in the conformal space
On a Class of Nonlinear Schrödinger Equations in R2 Involving Critical Growth
✍ Scribed by João Marcos do Ó; Marco A.S. Souto
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 183 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
Strong maximum and anti-maximum principles are extended to weak L 2 (R 2 )solutions u of the Schro dinger equation &2u+q(x) u&\*u= f (x) in L 2 (R 2 ) in the following form: Let . 1 denote the positive eigenfunction associated with the principal eigenvalue \* 1 of the Schro dinger operator A=&2+q(x)
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