A functional inequality associated to a Gagliardo-Nirenberg type quotient | Zendy

Mirko Tarulli | Zendy; George Venkov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A functional inequality associated to a Gagliardo-Nirenberg type quotient

Author(s) -

Mirko Tarulli,

George Venkov

Publication year - 2017

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.5013981

Subject(s) - nirenberg and matthaei experiment , quotient , inequality , type (biology) , nonlinear system , operator (biology) , schrödinger's cat , mathematics , pure mathematics , mathematical physics , mathematical analysis , discrete mathematics , physics , quantum mechanics , ecology , biochemistry , chemistry , repressor , gene , transcription factor , biology

We perform a new inequality regarding the operator L+ = − Δ + 1− β(Q2) − 2β′(Q2) concerning the ground states Q associated to the nonlinear Schrodinger equations (NLS), { iut+Δu+β(|u|2)u=0, (t,x)∈ℝ×ℝd,u(0,x)=u0(x), x∈ℝd. with d ≥ 1. We present also some results straightforward consequence of an application of such an inequality.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research