On the collapse of solutions of the Cauchy problem for the cubic Schrödinger evolution equation

DOI10.1134/S0001434619010073zbMath1420.35370OpenAlexW2940329381MaRDI QIDQ2313608

Sharif M. Nasibov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619010073

zbMATH Keywords

Cauchy problemSchrödinger equationinterpolation inequality

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Related Items (2)

Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential ⋮ Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on the Gross-Sobolev, Hirschman, and Pauli-Heisenberg-Weyl fundamental inequalities and the entropy inequality
• Nonlinear Schrödinger evolution equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• A sharp constant in a Sobolev-Nirenberg inequality and its application to the Schrödinger equation

This page was built for publication: On the collapse of solutions of the Cauchy problem for the cubic Schrödinger evolution equation