Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L2-critical case

DOI10.1142/S0219199714500308zbMath1314.35120arXiv1410.8011MaRDI QIDQ4983014

Simão Correia

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1410.8011

zbMATH Keywords

dampingnonlinear Schrödinger equationblowup

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

On the nonlinear Schrödinger equation with a variable damping term

Cites Work

• Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
• The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
• Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient

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