Lan Yang

collaborators

3 papers

math.AP2019

Blow-up dynamics for $L^{2}$ -critical fractional Schrödinger equations

Yang Lan

In this paper, we will consider the $L^{2}$ -critical fractional Schrödinger equation $i u_{t} - ∣ D ∣^{β} u + ∣ u ∣^{2 β} u = 0$ with initial data $u_{0} \in H^{β /2} (R)$ and $β$ close to $2$ . We…

math.AP2016

On asymptotic dynamics for $L^{2}$ critical generalized KdV equations with a saturated perturbation

Yang Lan

In this paper, we consider the $L^{2}$ critical gKdV equation with a saturated perturbation: $\partial_{t} u + (u_{xx} + u^{5} - γ u ∣ u ∣^{q - 1})_{x} = 0$ , where $q > 5$ and $0 < γ ≪ 1$ . For any initial d…

math.AP2016

Blow-up solutions for $L^{2}$ -supercritical gKdV equations with exactly $k$ blow-up points

Yang Lan

In this paper we consider the slightly $L^{2}$ -supercritical gKdV equations $\partial_{t} u + (u_{xx} + u ∣ u ∣^{p - 1})_{x} = 0$ , with the nonlinearity $5 < p < 5 + ε$ and $0 < ε ≪ 1$ …

Blow-up dynamics for L2-critical fractional Schrödinger equations

On asymptotic dynamics for L2 critical generalized KdV equations with a saturated perturbation

Blow-up solutions for L2-supercritical gKdV equations with exactly k blow-up points

Blow-up dynamics for $L^{2}$ -critical fractional Schrödinger equations

On asymptotic dynamics for $L^{2}$ critical generalized KdV equations with a saturated perturbation

Blow-up solutions for $L^{2}$ -supercritical gKdV equations with exactly $k$ blow-up points