On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient

DOI10.1142/S0219199713500363zbMath1294.35116OpenAlexW2114913535MaRDI QIDQ5170121

M. S. Figueira, João-Paulo Dias

Publication date: 18 July 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199713500363

zbMATH Keywords

dampingnonlinear Schrödinger equationblowup

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

The Cauchy problem for coupled nonlinear Schrödinger equations with linear damping: local and global existence and blowup of solutions ⋮ Supercritical Blowup in Coupled Parity-Time-Symmetric Nonlinear Schrödinger Equations ⋮ On the nonlinear Schrödinger equation with a variable damping term ⋮ Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L²-critical case ⋮ Critical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations

Cites Work

• Self-Focusing in the Damped Nonlinear Schrödinger Equation
• Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

This page was built for publication: On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient