Nonexistence of solutions of higher-order nonlinear non-Gauge Schrödinger equation
Abstract
A nonexistence result is proved of the space higher-order nonlinear Schrodinger equation
where m > 1, n > 1 and p > n. Our method of proof rests on a judicious choice of the test function in the weak formulation of the equation. Then, we obtain an upper bound of the life span of solutions. Furthermore, the necessary conditions for the existence of local or global solutions are provided.
Next, we extend our results to the 2 × 2 – system.
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