Add to ORKG18 pagesIn this paper we consider Schrödinger equations with nonlinearities of odd order 2σ + 1 on T^d. We prove that for σd≥2, they are strongly illposed in the Sobolev space H^s for any s < 0, exhibiting norm-inflation with infinite loss of regularity. In the case of the one-dimensional cubic nonlinear Schrödinger equation and its renormalized version we prove such a result for H^s with s < −2/3
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We sho...
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger ...
Nonlinear Schrödinger equations with nonlinearities |u|²ᴷu on the d-dimensional torus are considered...
In this paper we consider Schrodinger equations with nonlinearities of odd order 2σ + 1 on Td. We pr...
This article is concerned with the norm-inflation phenomena associated with a periodic initial-value...
ABSTRACT. The nonlinear Schrödinger equation with nonlinearity uux is shown to be illposed in any So...
Grube F. Norm inflation for the Zakharov system. arXiv:2203.09823. 2022.The Cauchy problem for the c...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
In this note, we study the ill-posedness problem for the derivative nonlinear Schr\"odinger equation...
We prove the norm inflation phenomena for the Boussinesq system on T3. For arbitrarily small initial...
The Cauchy problem for the classical Zakharov system is shown to be ill-posed in the sense of norm i...
AbstractWe prove that the Sobolev norms for a 1-D periodic Schrödinger equation remain bounded under...
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We sho...
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger ...
Nonlinear Schrödinger equations with nonlinearities |u|²ᴷu on the d-dimensional torus are considered...
In this paper we consider Schrodinger equations with nonlinearities of odd order 2σ + 1 on Td. We pr...
This article is concerned with the norm-inflation phenomena associated with a periodic initial-value...
ABSTRACT. The nonlinear Schrödinger equation with nonlinearity uux is shown to be illposed in any So...
Grube F. Norm inflation for the Zakharov system. arXiv:2203.09823. 2022.The Cauchy problem for the c...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct ...
In this note, we study the ill-posedness problem for the derivative nonlinear Schr\"odinger equation...
We prove the norm inflation phenomena for the Boussinesq system on T3. For arbitrarily small initial...
The Cauchy problem for the classical Zakharov system is shown to be ill-posed in the sense of norm i...
AbstractWe prove that the Sobolev norms for a 1-D periodic Schrödinger equation remain bounded under...
We consider non-gauge-invariant cubic nonlinear Schrödinger equations in one space dimension. We sho...
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger ...
Nonlinear Schrödinger equations with nonlinearities |u|²ᴷu on the d-dimensional torus are considered...