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|Title:||Blow-up solutions of inhomogeneous nonlinear Schrödinger equations|
|Authors:||Pang, P.Y.H. |
Inhomogeneous nonlinear Schrödinger equation
|Citation:||Pang, P.Y.H., Tang, H., Wang, Y. (2006-04). Blow-up solutions of inhomogeneous nonlinear Schrödinger equations. Calculus of Variations and Partial Differential Equations 26 (2) : 137-169. ScholarBank@NUS Repository. https://doi.org/10.1007/s00526-005-0362-5|
|Abstract:||In this paper, we study blow-up solutions to the Cauchy problem of the inhomogeneous nonlinear Schrödinger equation ∥tu = i ( f(x) Δu + ∇ f(x) ̇ ∇ u + k(x)|u|2u) on ℝ2. We present existence and non-existence results and investigate qualitative properties of the solutions when they exist.|
|Source Title:||Calculus of Variations and Partial Differential Equations|
|Appears in Collections:||Staff Publications|
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